Format results
-
From skein theory to presentations of Thompson groups
Yunxiang Ren - Vanderbilt University
-
-
Topological recursion and deformation quantization.
Yan Soibelman - Kansas State University
-
Periods, Motives, and graphical interpretations thereof
Owen Patashnick - University of Bristol
-
The Coherent Satake Category, Clusters, and Wilson-'t Hooft Operators
Harold Williams - University of California, Davis
-
Quantum groups from character varieties
Gus Schrader - University of California, Berkeley
-
Mathematical Physics Seminar
Davide Gaiotto - Perimeter Institute for Theoretical Physics
-
-
On the mathematics of étale gerbes inspired by physics
Hsian-Hua Tseng - Ohio State University
-
-
Shifted Yangians, loop groups, and (co)products
Alex Weekes - University of Saskatchewan
-
Moonshine, topological modular forms, and 576 fermions.
Theo Johnson-Freyd - Dalhousie University
-
From skein theory to presentations of Thompson groups
Yunxiang Ren - Vanderbilt University
Motivated by the question about reconstructing a Conformal field theory from the data of a subfactor of finite index, Jones studied the continuous limit of the periodic quantum spin chain which Thompson group acts on. Based on planar algebras, the topological axiomatization of subfactors, we will… -
Convex Polytopes for the Central Degeneration of the Affine Grassmannian
The affine Grassmannian is the analog of the Grassmannian for the loop group. They are very important objects in mathematical physics and the Geometric Langlands program. In this talk, I will explain my recent work on the central degeneration of semi-infinite orbits, Iwahori orbits and Mirkovic… -
Topological recursion and deformation quantization.
Yan Soibelman - Kansas State University
About a decade ago Eynard and Orantin proposed a powerful computation algorithm known as topological recursion. Starting with a ``spectral curve" and some ``initial data" (roughly, meromorphic differentials of order one and two) the topological recursion produces by induction a collection of… -
Periods, Motives, and graphical interpretations thereof
Owen Patashnick - University of Bristol
Integral values of zeta functions are important not only for what they say about other values of their respective functions, but also for what they say about transcendence degree questions for appropriate extensions of the rationals or other number fields. They also appear in some recent… -
The Coherent Satake Category, Clusters, and Wilson-'t Hooft Operators
Harold Williams - University of California, Davis
We discuss recent work showing that in type A_n the category of equivariant perverse coherent sheaves on the affine Grassmannian categorifies the cluster algebra associated to the BPS quiver of pure N=2 gauge theory. Physically, this can be understood as a statement about line operators in this… -
Quantum groups from character varieties
Gus Schrader - University of California, Berkeley
Quantum groups from character varieties Abstract: The moduli spaces of local systems on marked surfaces enjoy many nice properties. In particular, it was shown by Fock and Goncharov that they form examples of cluster varieties, which means that they are Poisson varieties with a positive atlas of… -
-
Wigner-Eckart theorem and Jordan-Schwinger representation for infinite-dimensional representations of the Lorentz group
The Wigner-Eckart theorem is a well known result for tensor operators of SU(2) and, more generally, any compact Lie group. I will show how it can be generalised to arbitrary Lie groups, possibly non-compact. The result relies on the knowledge of recoupling theory between finite-dimensional and… -
On the mathematics of étale gerbes inspired by physics
Hsian-Hua Tseng - Ohio State University
For a finite group G, a G-gerbe over a space B can be thought of as a fiber bundle over B with fibers the classifying orbifold BG. Hellerman-Henriques-Pantev-Sharpe studied conformal field theories on G-gerbes. Given a G-gerbe Y-> B, they constructed a disconnected space \widehat{Y} endowed with a… -
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
I will talk about some connections among the GKZ (introduced by Gelfand-Kapranov-Zelevinsky) hypergeometric series, orbifold singularities of the system, and chain integrals in some geometry. The GKZ hypergeometric series appeared in some very interesting contexts including arithmetic geometry… -
Shifted Yangians, loop groups, and (co)products
Alex Weekes - University of Saskatchewan
I'll describe a family of algebras called shifted Yangians, which arise as deformation quantizations of certain spaces related to loop groups. I'll also describe coproducts for these algebras, which are related to multiplication in the loop group. Physically, this fits into the story of Coulomb… -
Moonshine, topological modular forms, and 576 fermions.
Theo Johnson-Freyd - Dalhousie University
I will report on progress understanding the 576-fold periodicity in TMF in terms of conformal field theoretic constructions. Sporadic finite groups and their cohomology will play a role.