All Seminars

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Title: Genus one curves in Severi-Brauer Varieties.
Seminar: Algebra
Speaker: David Saltman of IDA
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2016-03-15 at 5:00PM
Venue: W304
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Abstract:
Let A/F be a division algebra of degree 3, and X its Severi-Brauer variety which is a form of the projective plane. The linear system of cubic curves is defined on X, and so we can let C \subset X be one such. If C is a nonsingular such curve, then C is a genus one curve with Jacobian E, an elliptic curve. The question we address is the one asked by Asher Auel, namely, which E arise. We give an answer that depends on the structure of A.
Title: Some Ramsey-type Theorems
Defense: Dissertation
Speaker: Troy Retter of Emory University
Contact: Troy Retter, tretter@emory.edu
Date: 2016-03-02 at 11:30AM
Venue: E408
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Abstract:
See downloadable flyer.
Title: Beyond the moduli of marked rational curves
Seminar: Algebra
Speaker: Patricio Gallardo of UGA
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2016-03-01 at 4:00PM
Venue: W304
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Abstract:
We describe several generalizations of the moduli space of marked rational curves, their combinatorial structure and construction methods. In particular, we report joint work with Noah Giansiracusa in which we revisit the smooth configuration space compactifying n distinct points in affine space up to translation and homothety. I will also report joint work with Kenny Ascher in understanding a good locus inside the moduli space of weighted line arrangements constructed by V. Alexeev.
Title: Matrix Completion and Free Resolutions
Seminar: Algebra
Speaker: Rainer Sinn of Georgia Tech
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2016-02-23 at 4:00PM
Venue: W304
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Abstract:
I will discuss a matrix completion problem arising in combinatorial statistics and explain how we can use results in algebraic geometry to understand it better. The object linking the two different areas is the cone of sums of squares and its properties as a convex cone.
Title: A Mathematician's Guide to Working with Engineers
Seminar: Numerical Analysis and Scientific Computing
Speaker: Steven Hamilton of Oak Ridge National Laboratory
Contact: James Nagy, nagy@mathcs.emory.edu
Date: 2016-02-19 at 1:00PM
Venue: W306
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Abstract:
Problems in computational science often require interdisciplinary collaboration. Differences in the vocabulary, skills, and expectations of different fields can make these collaboration efforts extremely challenging. In this talk, I will discuss strategies for working on interdisciplinary teams that can contribute to the success (or failure) of a project. In particular, I will discuss some common pitfalls that I have seen mathematicians fall into when working with engineers and domain scientists.
Title: A Mathematician's Guide to Working with Engineers
Seminar: Numerical Analysis and Scientific Computing
Speaker: James Nagy of Emory University
Contact: James Nagy, nagy@mathcs.emory.edu
Date: 2016-02-17 at 1:00PM
Venue: W306
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Abstract:
Problems in computational science often require interdisciplinary collaboration. Differences in the vocabulary, skills, and expectations of different fields can make these collaboration efforts extremely challenging. In this talk, I will discuss strategies for working on interdisciplinary teams that can contribute to the success (or failure) of a project. In particular, I will discuss some common pitfalls that I have seen mathematicians fall into when working with engineers and domain scientists.
Title: A Mathematician's Guide to Working with Engineers
Seminar: Numerical Analysis and Scientific Computing
Speaker: James Nagy of Emory University
Contact: James Nagy, nagy@mathcs.emory.edu
Date: 2016-02-17 at 1:00PM
Venue: W306
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Abstract:
Problems in computational science often require interdisciplinary collaboration. Differences in the vocabulary, skills, and expectations of different fields can make these collaboration efforts extremely challenging. In this talk, I will discuss strategies for working on interdisciplinary teams that can contribute to the success (or failure) of a project. In particular, I will discuss some common pitfalls that I have seen mathematicians fall into when working with engineers and domain scientists.
Title: Hodge Theory on Matroids
Seminar: Algebra
Speaker: Eric Katz of University of Waterloo
Contact: David Zureick-Brown, dab@mathcs.emory.edu
Date: 2016-02-16 at 4:00PM
Venue: W304
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Abstract:
The chromatic polynomial of a graph counts its proper colourings. This polynomial's coefficients were conjectured to form a unimodal sequence by Read in 1968. This conjecture was extended by Rota in his 1970 address to assert the log-concavity of the characteristic polynomial of matroids which are the common generalizations of graphs and linear subspaces. We discuss the resolution of this conjecture which is joint work with Karim Adiprasito and June Huh. The solution draws on ideas from the theory of algebraic varieties, specifically Hodge theory, showing how a question about graph theory leads to a solution involving Grothendieck's standard conjectures.
Title: Finding the hidden symmetries of Nature
Seminar: Mathematical Physics
Speaker: Maria Clara Nucci of University of Perugia
Contact: Michele Benzi, benzi@mathcs.emory.edu
Date: 2016-02-10 at 4:00PM
Venue: W303
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Abstract:
Twenty years ago David J. Gross presented, at the National Academy of Sciences, a paper entitled "The role of symmetry in fundamental physics", which was later published in PNAS. I shall use that talk as a thread in order to illustrate my recent work related to the following main themes: (A) going from Classical to Quantum Mechanics by preserving Noether symmetries; (B) finding hidden linearity of maximally superintegrable systems; (C) determining Lagrangians (and Noether symmetries) for systems without Lagrangians. I shall provide several examples for each theme, including models in population dynamics and the Lorenz system in meteorology
Title: The Iwasawa main conjecture for elliptic curves at supersingular prime
Seminar: Algebra
Speaker: Florian Sprung of Princeton/IAS
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2016-02-09 at 4:00PM
Venue: W304
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Abstract:
Iwasawa theory is a bridge between analytic objects and algebraic objects. We give a friendly introduction to the main conjecture in the ordinary case (and define what 'ordinary' means), and then outline the supersingular (=non-ordinary) theory. The main philosophy of the proof in the supersingular case is to work with a pair of simple objects similar to the ordinary ones.