**Time & Location**: All talks are on Thursdays in Gibson 414 at 2:00 PM unless otherwise noted.

**Organizer**: Tai Ha

September 8

**Speaker** - Institution

**Abstract**: TBA

September 15

**Speaker** - Institution

**Abstract**: TBA

September 22

**Speaker** - Institution

**Abstract**: TBA

September 29

**Zhenheng Li** - University of South Carolina, Aiken (Host: Mahir Can)

**Abstract**:

We show in this talk how to construct a monoid from a highest weight representation of a Kac-Moody group over the complex numbers. The unit group of the monoid is the image of the Kac-Moody group under the representation, multiplied by the nonzero complex numbers. We then show that this monoid has similar properties to those of a J-irreducible reductive linear algebraic monoid. More specifically, the monoid is unit regular and has a Bruhat decomposition, and the idempotent lattice of the generalized Renner monoid of the Bruhat decomposition is isomorphic to the face lattice of the convex hull of the Weyl group orbit of the highest weight.

October 6

**Speaker** - Institution

**Abstract**: TBA

October 13

**Speaker** - Institution

**Abstract**: TBA

October 20

**Arindam Banerjee** - Purdue University

**Abstract**:

Stillman's question asks whether one can find an upper bound for protective dimension of homogeneous ideals depending only on the degree sequence of its generating set, independent of the number of variables in the polynomial ring. it is believed that this question has a positive answer and many researchers have proved it for different special cases in recent years. In this joint work with Giulio Caviglia, we study a variant of this question; i.e, we ask if one conjectures a bound for a a fixed degree sequence, whether that can be algorithmically verified. We answer this in affirmative and in the process we also prove some other related and interesting results.

October 27

**Laura Matusevich** - Texas A&M

**Abstract**: TBA

November 3

**Speaker** - Institution

**Abstract**: TBA

November 10

November 17

**Mahir Can** - Tulane University

**Abstract**:

This topic is a highly active branch of mathematics and it has organic ties to mathematical physics.

In this talk we will make an introduction to some universal algebro-geometric objects associated with G2-manfiolds. We do not assume any background in algebraic geometry.

December 1

Mahir Can - Tulane University

**Abstract**:

Part II.

In differential geometry a G2 manifold is a seven dimensional manifold with a metric whose holonomy group is contained in the exceptional Lie group G2.

This topic is a highly active branch of mathematics and it has organic ties to mathematical physics.

In this talk we will make an introduction to some universal algebro-geometric objects associated with G2-manfiolds. We do not assume any background in algebraic geometry.

December 8

**Selvi Beyarslan** - Tulane University

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