shadow_tr

Research Seminars: Algebra and Combinatorics


Past Algebra and Combinatorics:

Fall 2018

Time & Location: All talks are on Wednesday in Gibson Hall 325 at 3:00 PM unless otherwise noted.
Organizer: Mahir Can


September 12

Topic

SpeakerInstitution

Abstract: TBA


September 19

Weakly complete real vector spaces

Karl HofmannTulane University

Abstract:

khh1


September 26

Topic

SpeakerInstitution

Abstract: TBA


October 3

Constructing a $S_n$ module for $(-1)^{n-1} \nabla p_n$

Soumya BanerjeeTulane University

Abstract:

We will outline a construction of an $S_n$ module with Frobenius characteristic $(-1)^{n-1} \nabla p_n$. The construction is realized  in two steps. First one defines an appropriate  sheaf on the Hilbert scheme of points on the plane. Subsequently, one uses Bridgeland-King-Reid correspondence to pass to $S_n$ modules.

October 10

Topic

SpeakerInstitution

Abstract: TBA


October 17

Topic

SpeakerInstitution

Abstract: TBA


October 24

Associated primes of powers of edge ideals and ear decompositions of graphs (Part I)

Ha Minh LamInstitute of Mathematics, VAST

Abstract:

 

We give a complete description of the associated primes of every power of the edge ideal in terms of generalized ear decompositions of the graph. This result establishes a relationship between two seemingly unrelated notions of Commutative Algebra and Combinatorics. It covers all previous major results in this topic and has several interesting consequences.

October 31

Associated primes of powers of edge ideals and ear decompositions of graphs (Part II)

Ha Minh LamInstitute of Mathematics, VAST

Abstract:

We give a complete description of the associated primes of every power of the edge ideal in terms of generalized ear decompositions of the graph. This result establishes a relationship between two seemingly unrelated notions of Commutative Algebra and Combinatorics. It covers all previous major results in this topic and has several interesting consequences.

November 7

Topic

SpeakerInstitution

Abstract: TBA


November 14

Upper bound for the regularity of powers of edge ideals of graphs.  Part 1

A.V. Jayanthan  | Indian Institute of Technology, Madras

Abstract:

 

Let G be a finite simple graph and I(G) denote the corresponding edge ideal. In this paper, we obtain an upper bound for reg(I(G)^q) in terms of certain invariants associated with G. We also prove certain weaker versions of a conjecture by Alilooee, Banerjee, Bayerslan and Hà on an upper bound for the regularity of I(G)^q and we prove the conjectured upper bound for the class of vertex decomposable graphs.

November 16

Topic

SpeakerInstitution

Abstract: TBA


November 21
Thanksgiving

December 5

On the regularity of binomial edge ideals of graphs. Part 2

A.V. JayanthanIndian Institute of Technology, Madras

Abstract:

This will be a survey talk on regularity of binomial edge ideals of several classes of finite simple graphs. Some techniques and open problems will be discussed.



Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu