Tags: Seminars

Title of talk:  "Combinatorial constructions for degenerations of derived categories"
  Title: An Introduction to Khovanov homology Abstract: I will give a hands-on introduction to Khovanov homology based on the first portion of Bar-Natan's excellent introduction (https://arxiv.org/abs/math/0201043). Just as singular homology associates a collection of groups (one for each dimension) to a topological space, Khovanov homology associates a collection of groups to a link. It can be computed from a link diagram via a very…
  Title 2: Determining which groups have the same character table. Abstract 2: Two groups are said to have the same character table if a permutation of the rows and a permutation of the columns of one table produces the other table. The problem of determining when two groups have the same character table is computationally intriguing. We have constructed a database containing for all finite groups of order less than 2000 (excluding those of…
Title: Sumsets in the roots of unity Abstract: How large can the size of sets A and B be if their sum set is contained in the set of quadratic residues modulo p? We will discuss progress on this old problem and what it implies for a conjecture of Sarkozy, that the quadratic residues modulo any prime p can only be written as a sum set A+B if one of the two sets is a singleton.