Mathematical Physics

This series consists of talks in the area of Mathematical Physics.

Seminar Series Events/Videos

Feb 20 2020 - 1:30pm
Room #: 394
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TBA
Apr 23 2020 - 1:30pm
Room #: 394
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May 21 2020 - 1:30pm
Room #: 394
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Thursday Feb 13, 2020
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Thursday Feb 13, 2020
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Thursday Feb 06, 2020
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Thursday Feb 06, 2020
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Thursday Jan 30, 2020
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Thursday Jan 23, 2020
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This talk will cover my interpretation of Teleman's article "Gauge theory and mirror symmetry."

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Thursday Jan 09, 2020
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Connections between representation categories of quantum groups and vertex operator algebras (VOAs) have been studied since the 1990s starting with the pioneering work of Kazhdan and Lusztig. Recently, connections have been found between unrolled quantum groups and certain families of VOAs. In this talk, I will introduce unrolled quantum groups and describe their connections to the Singlet, Triplet, and Bp vertex operator algebras.

 

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Thursday Jan 09, 2020
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Factorization algebras provide a flexible language for describing the observables of a perturbative QFT, as shown in joint work with Kevin Costello. In joint work with Eugene Rabinovich and Brian Williams, we extend those constructions to a manifold with boundary for a special class of theories that includes, as an example, a perturbative version of the correspondence between chiral U(1) currents on a Riemann surface and abelian Chern-Simons theory on a bulk 3-manifold.

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Thursday Dec 05, 2019
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Absolute Gromov-Witten theory is known to have many nice structural properties, such as quantum cohomology, WDVV equation, Givental's formalism, mirror theorem, CohFT etc.. In this talk, I will explain how to obtain parallel structures for relative Gromov-Witten theory via the relation between relative and orbifold Gromov-Witten invariants. This is based on joint works with Honglu Fan, Hsian-Hua Tseng and Longting Wu. 

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Thursday Nov 14, 2019

Bergman's Diamond Lemma for ring theory gives an algorithm to produce a (non-canonical) basis for a ring presented by generators and relations. After demonstrating this algorithm in concrete, geometrically-minded examples, I'll turn to preprojective algebras and their multiplicative counterparts. Using the Diamond Lemma, I'll reprove a few classical results for preprojective algebras. Then I'll propose a conjectural basis for multiplicative preprojective algebras.

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