Seminars Sorted by Series

Aru Abstract: In the first story we wonder about the ubiquity of the free field and look at a few characterisation theorems. In the second story we discuss the mutually benefiting relationship between the discrete free field and the O(N) spin model...

Planar last passage percolation models are canonical examples of stochastic growth, polymers and random geometry in the Kardar-Parisi-Zhang universality class, where one considers oriented paths between points in a random environment accruing the...

Topic #1 (Kavvadias): We consider the Schramm-Loewner evolution (SLE_{kappa}) for kappa in (4,8), which is the regime that the curve is self-intersecting but not space-filling. We let K be the set of kappa in (4,8) for which the adjacency graph of...

Topic #1 (Wang): The Loewner energy is a Möbius invariant quantity that measures the roundness of Jordan curves on the Riemann sphere. It arises from large deviation deviations of SLE0+ and is also a Kähler potential on the Weil-Petersson...

This talk will focus on the complexity of the cubic-residue (and higher-residue) characters over GF(2^n), in the context of both arithmetic circuits and polynomials.

We show that no subexponential-size, constant-depth arithmetic circuit over GF(2)...

A Monotone Expander is an expander graph which can be decomposed into a union of a constant number of monotone matchings, under some fixed ordering of the vertices. A matching is monotone if every two edges (u,v) and (u',v') in it satisfy u u' -->...

This talk covers Chapters 4 and 5 in Jantzen's book.

Continuation of the talk from last time.

The talk covers Chapter 6 in Jantzen's book.

Continuation of the talk from Feb 4.

Continuation of the talk from last time.

Covers chapter 8 in Jantzen's book.

Video link: https://www.ias.edu/video/braid-group-actions-and-pbw-type-basis-pt2

The talk discusses basics of quantum groups at roots of unity with motivation from modular representation theory.

Continuation of the previous talk.

Continuation of the talk from last time.

We discuss modular representations of reductive algebraic groups and then proceed to representations of quantum groups at roots of unity

Continuation from last time.

The talk introduces the Kazhdan-Lusztig categories of representations of affine Lie algebras

Continuation from last time.

The talk introduces the Kazhdan-Lusztig equivalence between the Kazhdan-Lusztig category of representations of affine algebra and category of modules over the quantum group.

Continuation of the previous talk.