Title: Ising model, total positivity, and criticality Abstract: The Ising model, introduced in 1920, is one of the most well-studied models in statistical mechanics. It is known to undergo a phase transition at critical […]
Abstract: D-critical schemes and Artin stacks were introduced by Joyce in 2015, and play a central role in Donaldson-Thomas theory. They typically occur as truncations of (-1)-shifted symplectic derived schemes, but […]
Abstract: (joint with S. Venugopalan) I will describe version of the Fukaya algebra that appears in a tropical degeneration with the Lagrangian being one of the “tropical fibers”. An example is the count of […]
Speaker: Peng Shan (Tsinghua University) Title: Categorification and applications Abstract: I will give a survey of the program of categorification for quantum groups, some of its recent development and applications to representation theory.
Title: Electric-magnetic duality and the Geometric Langlands duality Abstract: I will give a pedagogical review of the connection between electric-magnetic duality and the Geometric Langlands duality.
Title: Mathematical resolution of the Liouville conformal field theory. Abstract: The Liouville conformal field theory is a well-known beautiful quantum field theory in physics describing random surfaces. Only recently a […]
Abstract: Taking the large dimension limit of Einstein’s equations is a useful strategy for solving and understanding the dynamics that these equations encode. I will introduce the underlying ideas and the […]
Speaker: Du Pei Title: Wall-crossing from Higgs bundles to vortices Abstract: Quantum field theories can often be used to uncover hidden algebraic structures in geometry and hidden geometric structures in […]
Abstract: I describe our work looking at `traditional’ scenarios of moduli stabilisation from a holographic perspective. This reveals some interesting structure that is not apparent from the top-down perspective. For […]
Abstract: The n-queens problem asks how many ways there are to place n queens on an n x n chessboard so that no two queens can attack one another, and the […]
Abstract: It is well known that the Hilbert schemes of points on smooth surfaces are smooth. In higher dimensions the Hilbert schemes of points are in general singular. In this talk […]
Speaker: Karim Adiprasito, Hebrew University and University of Copenhagen Title: Anisotropy, biased pairing theory and applications Abstract: Not so long ago, the relations between algebraic geometry and combinatorics were strictly governed […]