Schedule

• Feb 5
  Thursday

  Christophe Garban (Universite Lyon 1 & Courant Institute)

  One-arm exponents of the high-dimensional Ising model

  Abstract: In a joint work with Diederik van Engelenburg, Romain Panis and Franco Severo, we study the probability that the origin is connected to the boundary of the box of size $n$ (the one-arm probability) in several percolation models related to the Ising model. We prove that different universality classes emerge at criticality and that the FK-Ising model has upper-critical dimension equal to 6, in contrast to the Ising model, where it is known to be (less or) equal to 4. I will start the talk with a short introduction on the Ising model on Z^d.

• Feb 9

  Applied Math Colloquium by Joel Tropp

• Feb 16

  President's Day

• Feb 23

  Ron Nissim (MIT)

  Area Law and Mass Gap for Lattice Yang-Mills at Strong Coupling

  Abstract: This talk is based on three recent papers, including two with Scott Sheffield and Sky Cao, on lattice Yang-Mills theory. These papers extend the regime of parameter for which two properties of lattice Yang-Mills theory known as mass gap and area law hold to the 't Hooft regime. As Yang-Mills theory is a mathematical model for particle physics, these properties (mass gap and area law) have real physical implications such as quark confinement. The goal of the talk will be to explain the mechanisms which make the 't Hooft regime tractable from two points of view. One point of view is based on the master loop equation and string trajectories which can be seen as a surface exploration, while the other point of view is based on pairing the recent Langevin dynamic approach with classical arguments from the 70s and 80s.

• Mar 2

  Shrey Aryan (MIT)

• Mar 9

  Simons Lectures

• Mar 16

  Vilas Winstein (UC Berkeley)

• Mar 23

  Spring Break

• Mar 30

  Mike Douglas (Harvard)

• Apr 6

• Apr 15
  Wednesday

  Marcus Michelen (Northwestern)

• Apr 20

  Patriot's Day

• Apr 27

  Simons Lectures

• May 4

  Marianna Russkikh (Notre Dame)

• May 11