All Seminars
| Title: Georgia Algebraic Geometry Seminar |
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| Seminar: Algebra |
| Speaker: Various of Emory University |
| Contact: David Zureick-Brown, DAVID.M.BROWN.JR@GMAIL.COM |
| Date: 2020-04-17 at 4:00PM |
| Venue: MSC Other |
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| Abstract: The Georgia Algebraic Geometry Symposium is a conference series, jointly organized by the University of Georgia, Emory University and Georgia Tech. \\ All talks will be in Room 208 of the Mathematics and Science Center (400 Dowman Drive, Atlanta GA 30322). Registration and refreshments will be in the second floor atrium. \\ http://www.math.emory.edu/~dzb/conferences/GAGS2020/ |
| Title: Athens-Atlanta joint Number Theory Seminar |
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| Seminar: Algebra |
| Speaker: Samit Dasgupta and Wei Ho of Duke University and University of Michigan |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2020-04-09 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: Talks will be at Emory. Abstracts to appear soon. |
| Title: Thesis Defense: Local-global principles for norm one tori over semi-global fields. |
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| Seminar: Algebra |
| Speaker: Sumit Chandra Mishra of Emory University |
| Contact: David Zureick-Brown, DAVID.M.BROWN.JR@GMAIL.COM |
| Date: 2020-03-24 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: |
| Title: TBA |
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| Seminar: Algebra |
| Speaker: Harris Daniels of Amherst College |
| Contact: David Zureick-Brown, david.zureick.brown@gmail.com |
| Date: 2020-03-17 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: |
| Title: TBA |
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| Defense: Number Theory |
| Speaker: Lea Beneish of Emory University |
| Contact: David Zureick-Brown, DAVID.M.BROWN.JR@GMAIL.COM |
| Date: 2020-03-03 at 3:00PM |
| Venue: MSC W303 |
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| Abstract: |
| Title: TBA |
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| Defense: Algebra |
| Speaker: Jackson Morrow of Emory University |
| Contact: David Zureick-Brown, DAVID.M.BROWN.JR@GMAIL.COM |
| Date: 2020-03-03 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: |
| Title: Linear and rational factorization of tropical polynomials |
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| Seminar: Algebra |
| Speaker: Bo Lin of Georgia Tech |
| Contact: David Zureick-Brown, DAVID.M.BROWN.JR@GMAIL.COM |
| Date: 2020-02-25 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: Already for bivariate tropical polynomials, factorization is an NP-Complete problem. In this talk, we will introduce a rich class of tropical polynomials in n variables, which admit factorization and rational factorization into well-behaved factors. We present efficient algorithms of their factorizations with examples. Special families of these polynomials have appeared in economics, discrete convex analysis, and combinatorics. Our theorems rely on an intrinsic characterization of regular mixed subdivisions of integral polytopes, and lead to open problems of interest in discrete geometry. |
| Title: Wave decay for star-shaped waveguides |
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| Seminar: Analysis and PDE |
| Speaker: Kiril Datchev of Purdue |
| Contact: Yiran Wang, yiran.wang@emory.edu |
| Date: 2020-02-20 at 2:30PM |
| Venue: MSC N306 |
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| Abstract: Let $\Omega \subset \mathbb R^d$ be an unbounded open set. We wish to understand how decay of solutions to the wave equation on $\Omega$ is related to the geometry of $\Omega$.\\ \\ When $\mathbb R^d \setminus \Omega$ is bounded, this is the celebrated obstacle scattering problem. Then a particularly favorable geometric assumption, going back to the original work of Morawetz, is that the obstacle is star shaped. We adapt this assumption to the study of waveguides, which are domains bounded in some directions and unbounded in others, such as tubes or wires. We prove sharp wave decay rates for various waveguides, including the example of a disk removed from a straight planar waveguide, that is to say $\Omega = ((-1,1) \times \mathbb R) \setminus D$, where $D$ is a closed disk contained in $(-1,1) \times \mathbb R$. Our results are based on establishing estimates and pole-free regions for the resolvent of the Laplacian near the continuous spectrum.\\ \\ This talk is based on joint work with Tanya Christiansen. |
| Title: A limit theorem in Optimal transportation theory |
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| Seminar: Analysis and Differential Geometry |
| Speaker: Professor Gershon Wolansky of Israel Institute of Technology - Technion |
| Contact: Vladimir Oliker, oliker@emory.edu |
| Date: 2020-02-11 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: I’ll review the fundamental theory of optimal transportation and define the notion of conditional Wasserstein metric on the set of probability measures. If time permits I’ll discuss various applications to control, regularity of flows, dynamics, and design of optimal networks. |
| Title: Moduli spaces in computer vision |
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| Colloquium: Algebra and Number Theory |
| Speaker: Max Lieblich of University of Washington |
| Contact: David Zureick-Brown, david.zureick-brown@emory.edu |
| Date: 2020-02-10 at 2:30PM |
| Venue: Mathematics and Science Center: MSC E208 |
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| Abstract: Moduli theory is one of the cornerstones of algebraic geometry. The underlying idea of the theory is that, given a class of mathematical objects, one can often find a universal space parametrizing those objects, and the geometry of this space gives us insight into the objects being parametrized. After introducing moduli theory with some basic classical examples, I will discuss recent applications to computer vision. As it turns out, the roots of computer vision are tightly intertwined with classical projective geometry. I will present the early history and basic geometric problems of computer vision, and then I will talk about how modern methods give us deeper insight into these problems, including new understandings of core algorithms that are used billions of times a day all over the planet. |