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Research Seminars: Algebra and Combinatorics

Spring 2019

Time & Location: All talks are on Wednesday in Dinwiddie Hall 108 at 3:00 PM unless otherwise noted.
Organizer: Mahir Can

Archives

September 4

Title: TBA

Speaker | INSTITUTION

Abstract: TBA

 

September 11

Title: TBA

Speaker | INSTITUTION

Abstract: TBA

 

September 18

Title: Fiber invariants of projective morphisms and regularity of powers of ideals

Tai Ha | Tulane University

Abstract:

We introduce an invariant, associated to a coherent sheaf of graded modules over a projective morphism of schemes, which controls when sheaf cohomology can be passed through the given morphism. We then use this invariant to estimate the stability indexes of the regularity and a*-invariant of powers of homogeneous ideals. This is a joint work with Sankhaneel Bisui and Abu Thomas.

 

September 25

Title: The Group Algebra of a Compact Group and Tannaka Duality for Compact Groups

Karl Hoffmann | Tulane University

Abstract:

In the preparation of the 4th edition of the text- and handbook \The Structure of
Compact Groups" (de Gruyter, Berlin-Boston, 1998, 2007, and 2013), Sidney A.
Morris and I decided to include the Tannaka-Hochschild Duality Theorem which
says that the category of compact groups is dual to the category of real reductive
Hopf algebras.
In the lecture I hope to explain why this theorem was not featured in the preceding
3 editions and why we decided to present it now.
Our deliberations led us into a new theory of group algebras for compact groups
on which I reported in this seminar in March. I shall review the essential aspects
of the previous seminar and include some new ones now. One major theorem was
not available yet in March; it describes rather precisely the algebra structure of
the group algebra K[G] of the compact group G over the elds K = R and K = C.
(This result will appear in \On Weakly Complete Group Algebras of Compact
Groups," J. of Lie Theory 29 (2019), 18 pp., with Linus Kramer.)

 

October 2

Title: f-IDEALS, f-GRAPHS AND f-SIMPLICIAL COMPLEXES

Hasan Mahmood | GC University Lahore

Abstract:

 

October 16

Clifford Lectures

 

October 23

Title: TBA

Speaker | INSTITUTION

Abstract: TBA

 

October 30

Title: Decompositions of Toric Ideals of Finite Simple Graphs

Graham Keiper | McMaster University

Abstract:

I will discuss recent joint work which allows us to construct new finite simple graphs from two known ones in a specified way such that the corresponding toric ideals split. This construction more generally behaves well with respect to generators of the toric ideals of the graphs used in the construction. In some cases the technique allows us to recover the graded betti numbers of the resulting graph given that this information is known for the graphs used to construct it. I will also discuss more general results about the independence of generators of toric ideals. Finally, I hope to also discuss recent work which connects such splittings to the fundamental group of the graph.

 

November 6

Title: TBA

Speaker | INSTITUTION

Abstract: TBA

 

November 13

Title: TBA

Youngsu Kim | University of Arkansas

Abstract: TBA

 

November 20

Title: Cohomology of Leibniz Algebras

Joerg Feldvoss | University of South Alabama

Abstract:

 

November 27

Title: TBA

Speaker | INSTITUTION

Abstract: TBA

 

December 4

Title: TBA

Speaker | INSTITUTION

Abstract: TBA