Vimeo / Jonathan Hanke’s videoshttps://vimeo.com/jonhanke/videosVideos uploaded by Jonathan Hanke on Vimeo.Sat, 24 Sep 2016 12:12:11 -0400Vimeohttps://i.vimeocdn.com/portrait/3129038_100x100Vimeo / Jonathan Hanke’s videoshttps://vimeo.com/jonhanke/videos
Quadratic Forms in Number TheoryWed, 17 Sep 2014 22:21:44 -0400https://vimeo.com/106454429<p><iframe src="https://player.vimeo.com/video/106454429" width="640" height="360" frameborder="0" title="Quadratic Forms in Number Theory" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">Title: Quadratic Forms in Number Theory<br> Speaker: Jonathan Hanke</p> <p>Abstract: In the last decade there has been a renewed interest in studying classical questions about quadratic forms in number theory. For example, questions like “In how many ways can we write a number as a sum of four squares?” and “How many inequivalent quadratic forms are there with a given determinant?” This interest came from several fronts -- Conway’s conjectures about certain finiteness theorems for quadratic forms (e.g. “How to simply characterize definite quadratic forms representing all positive integers?”) and Bhargava’s interesting arithmetic parameterizations of classical structures in number theory by quadratic forms.</p> <p>In this talk we give an overview of some historical themes in the arithmetic of quadratic forms, focusing on representation questions and class numbers, describe the analytic theory of quadratic forms, and see how these can be combined (with some serious computational effort) to give complete answers to some of these questions. We will also outline some of the many open questions remaining in this beautiful and rich subject.</p> <p>====================================================</p> <p>Bi-Co Mathematics Colloquium <br> Bryn Mawr College, Park 338<br> Monday September 15, 2014 -- 4-5pm</p> <p><a href="http://www.brynmawr.edu/math/documents/BiCoMathColloquiumJonathanHanke091514.pdf" target="_blank" rel="nofollow noopener noreferrer">brynmawr.edu/math/documents/BiCoMathColloquiumJonathanHanke091514.pdf</a></p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:quadratic+forms">quadratic forms</a>, <a href="https://vimeo.com/tag:number+theory">number theory</a> and <a href="https://vimeo.com/tag:290-Theorem">290-Theorem</a></p>tag:vimeo,2014-09-17:clip106454429Quadratic Forms in Number Theory"To Infinity and Beyond" -- Part 2 of 2Wed, 17 Sep 2014 19:42:12 -0400https://vimeo.com/106445345<p><iframe src="https://player.vimeo.com/video/106445345" width="640" height="360" frameborder="0" title=""To Infinity and Beyond" -- Part 2 of 2" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">Title: "To Infinity and Beyond"<br> Speaker: Jonathan Hanke</p> <p>Abstract: In school you learn about geometry in the plane, properties of lines and circles, and in particular that any two non-parallel lines in the plane intersect in exactly one point. But what about the parallel lines? Are they destined forever to be apart? If you are willing to go to infinity, they can again meet, and this idea (well-known to artists) is one of the most fruitful and natural extensions of geometry in mathematics. Mathematician Jonathan Hanke will explain how one can use this idea to give a geometry where all lines behave in the same way, and some of the implications this has for mathematics, data communication and even card games.</p> <p>===========================================================<br> Talk at Brookhaven National Lab for gifted high school students -- Part 2 of 2<br> Saturday September 13, 2014 -- 9-11:30am</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:Projective+plane">Projective plane</a>, <a href="https://vimeo.com/tag:geometry">geometry</a>, <a href="https://vimeo.com/tag:Spot+It">Spot It</a>, <a href="https://vimeo.com/tag:mathematics">mathematics</a> and <a href="https://vimeo.com/tag:infinity">infinity</a></p>tag:vimeo,2014-09-17:clip106445345"To Infinity and Beyond" -- Part 2 of 2"To Infinity and Beyond" -- Part 1 of 2Wed, 17 Sep 2014 16:52:43 -0400https://vimeo.com/106432370<p><iframe src="https://player.vimeo.com/video/106432370" width="640" height="360" frameborder="0" title=""To Infinity and Beyond" -- Part 1 of 2" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">Title: "To Infinity and Beyond"<br> Speaker: Jonathan Hanke</p> <p>Abstract: In school you learn about geometry in the plane, properties of lines and circles, and in particular that any two non-parallel lines in the plane intersect in exactly one point. But what about the parallel lines? Are they destined forever to be apart? If you are willing to go to infinity, they can again meet, and this idea (well-known to artists) is one of the most fruitful and natural extensions of geometry in mathematics. Mathematician Jonathan Hanke will explain how one can use this idea to give a geometry where all lines behave in the same way, and some of the implications this has for mathematics, data communication and even card games.</p> <p>===========================================================<br> Talk at Brookhaven National Lab for gifted high school students -- Part 1 of 2<br> Saturday September 13, 2014 -- 9-11:30am</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:Projective+plane">Projective plane</a>, <a href="https://vimeo.com/tag:geometry">geometry</a>, <a href="https://vimeo.com/tag:Spot+It">Spot It</a>, <a href="https://vimeo.com/tag:mathematics">mathematics</a> and <a href="https://vimeo.com/tag:infinity">infinity</a></p>tag:vimeo,2014-09-17:clip106432370"To Infinity and Beyond" -- Part 1 of 2Does Z[(1+sqrt(-23))/2] have unique prime factorization?Thu, 14 Aug 2014 02:55:12 -0400https://vimeo.com/103405810<p><iframe src="https://player.vimeo.com/video/103405810" width="640" height="360" frameborder="0" title="Does Z[(1+sqrt(-23))/2] have unique prime factorization?" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">My 7-minute talk at the counselor mini-mini-course marathon at the PROMYS Program at Boston University on Friday August 8th, 2014. It gives four separates (sketches of) proofs of the failure of unique prime factorization in the ring Z[(1+sqrt(-23))/2].</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:Number+theory">Number theory</a>, <a href="https://vimeo.com/tag:unique+prime+factorization">unique prime factorization</a>, <a href="https://vimeo.com/tag:class+number">class number</a>, <a href="https://vimeo.com/tag:binary+quadratic+forms">binary quadratic forms</a>, <a href="https://vimeo.com/tag:class+field+theory">class field theory</a>, <a href="https://vimeo.com/tag:PROMYS">PROMYS</a> and <a href="https://vimeo.com/tag:Hanke">Hanke</a></p>tag:vimeo,2014-08-14:clip103405810Does Z[(1+sqrt(-23))/2] have unique prime factorization?Rutgers Talk on the 290-TheoremSat, 23 Nov 2013 14:15:45 -0500https://vimeo.com/80152913<p><iframe src="https://player.vimeo.com/video/80152913" width="640" height="360" frameborder="0" title="Rutgers Talk on the 290-Theorem" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">Rutgers Experimental Math Seminar Talk<br> November 14, 2013 -- 5-5:48pm<br> -------------------------------------------------<br> Title: "The 290-Theorem and Representing Numbers by Quadratic Forms"</p> <p>Abstract: This talk will describe several finiteness theorems for quadratic<br> forms, and progress on the question: "Which positive definite<br> integer-valued quadratic forms represent all positive integers?". The<br> answer to this question depends on settling the related question<br> "Which integers are represented by a given quadratic form?" for<br> finitely many forms. The answer to this question can involve both<br> arithmetic and analytic techniques, though only recently with the <br> use of computers has the analytic approach become practical.</p> <p>We will describe the theory of quadratic forms as it relates to<br> answering these questions, its connections with the theory of modular<br> forms, and give an idea of how one can obtain explicit bounds to<br> describe which numbers are represented by a given quadratic form.<br> --------------------------------<br> Comments/Corrections: (Here [minute:second] describes the time stamp referenced)</p> <p>[5:58] Legendre's result on the sum of 4 squares was proved around 1770 (not in the 1800s), though Jacobi's result on the sum of 4 squares was proved around 1834.</p> <p>[12:14] "representing something in this set" should be "representing everything in this set'.</p> <p>[16:57] The escalator construction first appears in William Schneeberger's 1997 Princeton PhD thesis, and was later used by Bhargava to prove the finiteness theorems described in the talk. The escalator form approach is due to some combination of Conway and Schneeberger.</p> <p>[17:20] As an example of the "something else" one needs to know, one needs to get lucky that no ternary forms could appear as leaves of the escalator tree. If ternary forms do appear, then the analytic theory presented becomes ineffective without assuming there are no Siegel zeros (or the stronger statement of GRH).</p> <p>[20:55] The form in the genus of x^2 + 55y^2 representing 5 is 5x^2 + 11y^2.</p> <p>[21:52] There are only finitely many classes of positive-definite quadratic forms with class number one. In the indefinite case this not true.</p> <p>[22:27] The notion of spinor genus allows one to inderstand what numbers are represented by integer-valued indefinite quadratic forms in n >= 3 variables, however the given example of numbers represented by x^2 - 2y^2 cannot be easily understood in this way. This comment appears in the lower left corner of the transparency.</p> <p>[23:59] The real local densities are not exactly given by the surface area of the level set ellipsoid, but it is something very similar to this.</p> <p>[26:28] The stated quadratic form only has four variables, instead of the requisite five for the example, so I should also have said something like "+ 13 v^2" at the end.</p> <p>[32:23] An Eisenstein series (in our sense of being in the subspace of modular forms orthogonal to all cusp forms) is non-zero at at least one of the cusps, though perhaps not at all of them at once.</p> <p>[33:09] Actually the Eisenstein series grow more like m^{k-1}, but only when they are non-zero.</p> <p>[35:30] Again, the lower bound only applies to the non-zero coefficients a_E(m).</p> <p>[35:55] The number r_Q(m) is always non-negative, not always positive. (The whole point to for us is to understand exactly when it is positive, and when it is zero!)</p> <p>[36:06] This comment is premature (i.e. doesn't follow from the previous theorem as stated), though it is stated appropriately in the next transparency at [36:16].</p> <p>[37:10] I should have said what appears on the transparency, where one divides by p^{n-1} with n being the number of variables of the quadratic form (e.g. n=4).</p> <p>[37:55] Again, this effective lower bound is valid only when a_E(m) is not zero, which follows from the condition stated there that m is locally represented.</p> <p>[39:48] TO DO: Check this reference about the Ramanujan bound!</p> <p>[41:18] Here "quadratic form" means positive-definite integer-valued quadratic form in at least four variables.</p> <p>[43:21] My answer here that the the numerical methods always have bounds that worked is accurate, though with the caveat that for safety/comfort we consistently added one to the numerical bounds, and the exact answers always were within this "+1" tolerance that we used for further checking. Without this tolerance the numerical answers were not always sufficient, so it's very important to be aware of possible roundoff error!</p> <p>[46:22] There is a subtlety here that in (3) one may need to check a few more primes than those not meeting the bound individually in (1) when assembling the eligible squarefree numbers in (2) which strictly speaking I have glossed over, but it is very minor.</p> <p>[46:34] I meant that one doesn't want to give this to a graduate student not using a computer. I did actually give this to my graduate student as an exercise to check her understanding! =)</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:Math">Math</a>, <a href="https://vimeo.com/tag:Quadratic">Quadratic</a>, <a href="https://vimeo.com/tag:Forms">Forms</a> and <a href="https://vimeo.com/tag:290-Theorem">290-Theorem</a></p>tag:vimeo,2013-11-23:clip80152913Rutgers Talk on the 290-Theorem2013-07-06 David Frohardt-Lane's TalkTue, 16 Jul 2013 00:45:11 -0400https://vimeo.com/70385197<p><iframe src="https://player.vimeo.com/video/70385197" width="640" height="360" frameborder="0" title="2013-07-06 David Frohardt-Lane's Talk" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">David Frohardt-Lane's Talk on "Predictive Modeling in Sportsbetting"<br> PROMYS 25th Summer Celebration<br> July 6th, 2013 at 10am</p> <p>Abstract: In this talk, I will talk about the process of building a prediction model. The model in question will be designed predict the outcomes of NFL games, using only box score statistics in previous games, and built with the intention of identifying profitable wagering opportunities. The focus of the talk will be on how to extract as much information as possible from a limited data set. This should be easy to follow; I won't be assuming prior familiarity with statistics or football.</p> <p>Bio: David spent two years at PROMYS, in '94 and '95. After PROMYS, he went to Carleton College where he majored in mathematics and then went on to get a MS in statistics from the University of Chicago. In 2004, he ended up at a proprietary trading company called GETCO, and spent the next 8 years there, working out of their Chicago, NY and Singapore offices and trading a wide variety of financial products. As of July 1, he has started a new job with 3Red, a small trading firm in Chicago. David have always been interested in sports analytics and for a period of time (2003), he was making the majority of his income from betting on baseball. While he no longer gambles (the legal situation has changed since then) he continues to dabble with sports prediction models as a hobby. Recently he has started consulting with an Major League Baseball team to help them project high school and college players for the amateur draft. A common theme across these endeavors is building quantitative models to make predictions.</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:PROMYS">PROMYS</a>, <a href="https://vimeo.com/tag:modeling">modeling</a>, <a href="https://vimeo.com/tag:statistics">statistics</a>, <a href="https://vimeo.com/tag:baseball">baseball</a> and <a href="https://vimeo.com/tag:betting">betting</a></p>tag:vimeo,2013-07-16:clip703851972013-07-06 David Frohardt-Lane's TalkPU Juggling Club TSOP Dress Rehearsal 2013-04-10Fri, 12 Apr 2013 17:45:40 -0400https://vimeo.com/63933069<p><iframe src="https://player.vimeo.com/video/63933069" width="640" height="360" frameborder="0" title="PU Juggling Club TSOP Dress Rehearsal 2013-04-10" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">A (combined) video of dress rehearsal for the TSOP performance of the Princeton University Juggling Club on April 10, 2013, set to Michael Jackson's "Thriller".</p> <p>PU Juggling Club Website: <a href="http://www.princeton.edu/~juggling/" target="_blank" rel="nofollow noopener noreferrer">princeton.edu/~juggling/</a></p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p>tag:vimeo,2013-04-12:clip63933069PU Juggling Club TSOP Dress Rehearsal 2013-04-10The Mathematics of JugglingWed, 05 Sep 2012 20:47:46 -0400https://vimeo.com/48922616<p><iframe src="https://player.vimeo.com/video/48922616" width="640" height="360" frameborder="0" title="The Mathematics of Juggling" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">This talk was given at the UGA Math Club on Feb 2, 2012 (at 5pm in Boyd 323), together with Mo Hendon who performed all live Juggling demonstrations/challenges!</p> <p>Title: The Mathematics of Juggling</p> <p>Abstract: Juggling is an ancient throwing art whose practice dates back thousands of years, though only recently has it been described in a more mathematical way. This talk will explain how one can understand various juggling patterns in terms of combinatorics through live demonstrations and lively discussions. Following the talk there will be refreshments and free juggling lessons in the Matrix, Boyd 308!</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a></p><p><strong>Tags:</strong> <a href="https://vimeo.com/tag:juggling">juggling</a>, <a href="https://vimeo.com/tag:mathematics">mathematics</a>, <a href="https://vimeo.com/tag:math">math</a>, <a href="https://vimeo.com/tag:hendon">hendon</a> and <a href="https://vimeo.com/tag:hanke">hanke</a></p>tag:vimeo,2012-09-05:clip48922616The Mathematics of Juggling25. Wiles' Main conjecture -- Ken RibetWed, 06 Jun 2012 19:19:48 -0400https://vimeo.com/43572560<p><iframe src="https://player.vimeo.com/video/43572560" width="640" height="480" frameborder="0" title="25. Wiles' Main conjecture -- Ken Ribet" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 16, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-06:clip4357256025. Wiles' Main conjecture -- Ken Ribet33. Wiles' Theorem on Modular Elliptic Curves (Consequences) -- Henri DarmonWed, 06 Jun 2012 18:27:03 -0400https://vimeo.com/43570207<p><iframe src="https://player.vimeo.com/video/43570207" width="640" height="480" frameborder="0" title="33. Wiles' Theorem on Modular Elliptic Curves (Consequences) -- Henri Darmon" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 18, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-06:clip4357020733. Wiles' Theorem on Modular Elliptic Curves (Consequences) -- Henri Darmon30. Remarks on the History of Fermat's Last Theorem -- Michael RosenWed, 06 Jun 2012 11:19:31 -0400https://vimeo.com/43541876<p><iframe src="https://player.vimeo.com/video/43541876" width="640" height="480" frameborder="0" title="30. Remarks on the History of Fermat's Last Theorem -- Michael Rosen" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 17, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-06:clip4354187630. Remarks on the History of Fermat's Last Theorem -- Michael Rosen26. Modularity of the Universal Deformation Ring (the minimal case) -- Ehud de ShalitWed, 06 Jun 2012 10:47:20 -0400https://vimeo.com/43539587<p><iframe src="https://player.vimeo.com/video/43539587" width="640" height="480" frameborder="0" title="26. Modularity of the Universal Deformation Ring (the minimal case) -- Ehud de Shalit" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 16, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-06:clip4353958726. Modularity of the Universal Deformation Ring (the minimal case) -- Ehud de Shalit32. Modularity of Mod 5 Representations -- Karl RubinWed, 06 Jun 2012 04:32:19 -0400https://vimeo.com/43521951<p><iframe src="https://player.vimeo.com/video/43521951" width="640" height="480" frameborder="0" title="32. Modularity of Mod 5 Representations -- Karl Rubin" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 18, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-06:clip4352195132. Modularity of Mod 5 Representations -- Karl Rubin31. An Extension of Wiles' result -- Fred DiamondWed, 06 Jun 2012 00:40:41 -0400https://vimeo.com/43514642<p><iframe src="https://player.vimeo.com/video/43514642" width="640" height="480" frameborder="0" title="31. An Extension of Wiles' result -- Fred Diamond" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 18, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-06:clip4351464231. An Extension of Wiles' result -- Fred Diamond29. Non-minimal Deformations (the Induction Step) -- Ken RibetTue, 05 Jun 2012 14:21:07 -0400https://vimeo.com/43482604<p><iframe src="https://player.vimeo.com/video/43482604" width="640" height="480" frameborder="0" title="29. Non-minimal Deformations (the Induction Step) -- Ken Ribet" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 17, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-06-05:clip4348260429. Non-minimal Deformations (the Induction Step) -- Ken Ribet27. Explicit Families of Elliptic Curves with Prescribed Mod n Representations -- Alice SilverbergWed, 30 May 2012 18:57:24 -0400https://vimeo.com/43149037<p><iframe src="https://player.vimeo.com/video/43149037" width="640" height="480" frameborder="0" title="27. Explicit Families of Elliptic Curves with Prescribed Mod n Representations -- Alice Silverberg" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 17, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-30:clip4314903727. Explicit Families of Elliptic Curves with Prescribed Mod n Representations -- Alice Silverberg28. Estimating Selmer Groups -- Ehud de ShalitWed, 30 May 2012 18:05:43 -0400https://vimeo.com/43146245<p><iframe src="https://player.vimeo.com/video/43146245" width="640" height="480" frameborder="0" title="28. Estimating Selmer Groups -- Ehud de Shalit" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 17, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-30:clip4314624528. Estimating Selmer Groups -- Ehud de Shalit23. Computations of Galois Cohomology -- Larry WashingtonTue, 29 May 2012 19:50:08 -0400https://vimeo.com/43076359<p><iframe src="https://player.vimeo.com/video/43076359" width="640" height="480" frameborder="0" title="23. Computations of Galois Cohomology -- Larry Washington" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 15, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-29:clip4307635923. Computations of Galois Cohomology -- Larry Washington24. Sociology, History and the First Case of Fermat -- Gary CornellTue, 29 May 2012 19:37:56 -0400https://vimeo.com/43075745<p><iframe src="https://player.vimeo.com/video/43075745" width="640" height="480" frameborder="0" title="24. Sociology, History and the First Case of Fermat -- Gary Cornell" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 15, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-29:clip4307574524. Sociology, History and the First Case of Fermat -- Gary Cornell21. The Wiles-Faltings Criterion for Complete Intersections -- Rene SchoofSun, 27 May 2012 02:24:23 -0400https://vimeo.com/42913287<p><iframe src="https://player.vimeo.com/video/42913287" width="640" height="480" frameborder="0" title="21. The Wiles-Faltings Criterion for Complete Intersections -- Rene Schoof" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 15, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-27:clip4291328721. The Wiles-Faltings Criterion for Complete Intersections -- Rene Schoof22. The Flat Deformation Functor -- Brian ConradSun, 27 May 2012 01:59:53 -0400https://vimeo.com/42912748<p><iframe src="https://player.vimeo.com/video/42912748" width="640" height="480" frameborder="0" title="22. The Flat Deformation Functor -- Brian Conrad" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 15, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-27:clip4291274822. The Flat Deformation Functor -- Brian Conrad15. Ribet's Theorem -- Benedict GrossSun, 27 May 2012 01:39:04 -0400https://vimeo.com/42912319<p><iframe src="https://player.vimeo.com/video/42912319" width="640" height="480" frameborder="0" title="15. Ribet's Theorem -- Benedict Gross" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 12, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-27:clip4291231915. Ribet's Theorem -- Benedict Gross17. Hecke Algebras and the Gorenstein Property -- Jacques TilouineSun, 27 May 2012 01:17:07 -0400https://vimeo.com/42911901<p><iframe src="https://player.vimeo.com/video/42911901" width="640" height="480" frameborder="0" title="17. Hecke Algebras and the Gorenstein Property -- Jacques Tilouine" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 14, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-27:clip4291190117. Hecke Algebras and the Gorenstein Property -- Jacques Tilouine19. The Tangent Space and the Module of Kahler Differentials of the Universal Deformation Ring -- Barry MazurSun, 27 May 2012 01:01:31 -0400https://vimeo.com/42911570<p><iframe src="https://player.vimeo.com/video/42911570" width="640" height="480" frameborder="0" title="19. The Tangent Space and the Module of Kahler Differentials of the Universal Deformation Ring -- Barry Mazur" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 14, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-27:clip4291157019. The Tangent Space and the Module of Kahler Differentials of the Universal Deformation Ring -- Barry Mazur18. The Wiles-Lenstra Criterion for Complete Intersections -- Rene SchoofSun, 27 May 2012 00:39:18 -0400https://vimeo.com/42911069<p><iframe src="https://player.vimeo.com/video/42911069" width="640" height="480" frameborder="0" title="18. The Wiles-Lenstra Criterion for Complete Intersections -- Rene Schoof" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe></p><p><p class="first">August 14, 1995</p></p><p><strong>Cast:</strong> <a href="https://vimeo.com/jonhanke">Jonathan Hanke</a> and <a href="https://vimeo.com/user11768703">Glenn Stevens</a></p>tag:vimeo,2012-05-27:clip4291106918. The Wiles-Lenstra Criterion for Complete Intersections -- Rene Schoof