2023 Fall Talks

Title: Elliptic Chiral Index, HKR and Holomorphic Anomaly

• • Date: September 13, 2023

  • Speaker:  Si Li (Tsinghua University)

  • Abstract: We explain homological algebraic aspects of renormalization group flow. A two-dimensional chiral analogue of the algebraic index theorem is investigated via the theory of chiral algebras. We construct a trace map on the elliptic chiral homology, and explain a chiral analogue of Hochschild-Kostant-Rosenberg theorem. We also explain its relation with the holomorphic anomaly equation. 

Title:  Computational Methods for Symplectic Singularities

• • Date: October 4, 2023

  • Speaker:  Amihay Hanany (Imperical College London)

  • Abstract: The talks will give a pedagogical introduction to some of the most pioneering and advanced techniques in describing and studying symplectic singularities in string theory and mathematics.