Cyril Closset, TBA

• Cyril Closset

Room: 02.430

Ilka Brunner, TBA

• Ilka Brunner

Room: 02.430

Thorsten Schimmanek

• Thorsten Schimmanek

Room: 02.430

Albrecht Klemm, TBA

• Albrecht Klemm

Room: 02.430

Ed Segal, TBA

• Ed Segal

Room: 02.430

Pyry Kuusela, Physics Applications of Hodge Theory and Arithmetic Geometry

• Pyry Kuusela

Room: 02.430 This talk is an overview of recent progress in applying techniques from arithmetic geometry to physics. Many interesting physics constructions in various theories, such as CFTs and SUGRAs, can be related to non-trivial Hodge theoretic problems. Some number theoretic results and conjectures, generalising the celebrated modularity theorem in various directions, imply that these problems can be solved by using arithmetic geometry. After reviewing these connections, I give a quick overview of techniques I have developed together with collaborators to efficiently compute arithmetic geometry data, and give various examples of applications to physics. Time permitting, I will give some comments on recent work, questions, and speculation on how the correspondence between arithmetic geometry and physics can be taken beyond the context of Hodge theory.

Yann Proto, TBA

• Yann Proto

Room: 02.430

Xiaohan Yan, TBA

• Xiaohan Yan

Room: 02.430

YP Lee, Quantum elliptic cohomology: a progress report

• YP Lee

Room: 02.430 Among the generalized cohomology theories associated with 1-dimensional groups are ordinary cohomology (additive group), complex K-theory (multiplicative group), and elliptic cohomology (elliptic curve). In the late 1980s and early 1990s, physicists initiated quantum cohomology (Gromov-Witten theory) as the enumerative geometry associated with ordinary cohomology. A decade later, A. Givental and I introduced quantum K-theory. In this joint work with E. Bouaziz and I. Huq-Kuruvilla, I will report on recent progress toward establishing a mathematical framework for quantum elliptic cohomology.

Kentaro Hori, TBA

• Kentaro Hori

Room: 02.430

Jirui Guo, Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double β-Grothendieck polynomials

• Jirui Guo

Room: 02.430 The GL(N) asymmetric five vertex model is an integrable system that generalizes the spin-1/2 five vertex model. In this talk, I will explain why the Bethe ansatz equations of this model encode the ring relations of the equivariant quantum cohomology and K-theory ring of partial flag varieties, which are the OPE rings of the 2D and 3D quiver GLSMs. I will also show how the Bethe ansatz states of the integrable model generate the double β-Grothendieck polynomials interpolating the double Schubert polynomials and the double Grothendieck polynomials, which are representatives of the Schubert classes.

Muteeb M. Nouman, TBA

• Mouteeb Nouman

Room: 02.430

Melissa Liu, TBA

• Melissa Liu

Room: 02.430

Tyler Kelly, TBA

• Tyler Kelly

Room: 02.430

Emanuel Scheidegger, TBA

• Emanuel Scheidegger

Room: 02.430

Ilarion Melnikov, The spectral flow operator in (2,2) Calabi-Yau GLSMs

• Ilarion Melnikov

Room: 02.430 The (2,2) GLSM Lagrangian allows for a simple presentation of a number of deformations of the IR SCFT obtained as the endpoint of the RG flow defined by the gauge theory path integral. Typically, this only covers a subset of the deformations. In this talk I will review some work on describing the missing, so-called “non-toric” and “non-polynomial”, deformations as operators in the chiral algebra of the Lagrangian theory, and I will explain the key challenge through a construction, found together with Ronen Plesser, of a special holomorphic operator—the chiral spectral flow operator—in terms of the GLSM fields.