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K-State Today

November 28, 2017

Mathematics Colloquium lecture Nov. 28

Submitted by Reta McDermott

Tomoyuki Arakawa, Research Institute for Mathematical Sciences and Massachusetts Institute of Technology, will present "Vertex Algebras and Symplectic Varieties" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Tuesday, Nov. 28, in 114 Burt Hall.

Arakawa will discuss some remarkable correspondence between symplectic varieties and vertex algebras, which has been discovered by physicists in the study of the four-dimensional N = 2 superconformal field theories. In the special class of the four-dimensional N = 2 superconformal field theories called the "theory of class S," such correspondence is mathematically explained in the language of the two-dimensional topological field theories, that involves the Moore-Tachikawa conjecture on symplectic varieties that has been recently proved by Braverman, Finkelberg and Nakajima, and its upgrade to the setting of vertex algebras.