**Time & Location**: All talks are on Thursdays in Gibson 400A at 12:45 PM unless otherwise noted.

**Organizer**: Tai Ha

January 19

**Speaker** - Institution

**Abstract**: TBA

January 26

**Al Vitter** - TULANE UNIVERSITY

**Abstract**:

This will be the first of probably 2 talks. The Hodge Conjecture concerns smooth (non-singular) complex projective varieties. It relates the purely algebraic structure of the variety to its topological/complex-analytic structure via its cohomology groups. I will begin by discussing in a relatively untechnical way, some of the mathematics needed to state clearly the Hodge Conjecture. Then I will concentrate on some aspects that bring out (hopefully) the subtlety and importance of the conjecture.

February 2

**Al Vitter** - Tulane University

**Abstract**:

This will be a continuation of my first talk. I will state the Hodge Conjecture and then talk about some aspects that show its subtlety and importance. The Hodge Conjecture concerns smooth (non-singular) complex projective varieties. It relates the purely algebraic structure of the variety to its topological/complex-analytic structure via its cohomology groups. I will begin by discussing in a relatively untechnical way, some of the mathematics needed to state clearly the Hodge Conjecture.

February 9

**Mahir Bilen Can** - Tulane University

**Abstract**:

In this talk we present our recent progress on the diagonal actions of a reductive groups on product varieties of the form X_1 x X_2, where X_1 is a symmetric space and X_2 is a partial flag variety. In particular, we classify all such actions.

February 16

**Mahir Bilen Can** - Tulane University

**Abstract**:

In this talk we present our recent progress on the diagonal actions of a reductive groups on product varieties of the form X_1 x X_2, where X_1 is a symmetric space and X_2 is a partial flag variety. In particular, we classify all such actions.

February 23

**Speaker** - Institution

**Abstract**: TBA

March 2

**Speaker** - Institution

**Abstract**: TBA

March 9

**Prof. John Perry** - University of Southern Mississippi

**Abstract**:

Gröbner bases are a major tool in commutative algebra, typically computed using the Buchberger algorithm. This algorithm is “static” in that it works with a fixed term ordering, required as input along with the ideal’s generators. In many cases, however, a “dynamic” Buchberger algorithm is more appropriate: it requires only the generators as input, and returns both a basis and an ordering that guarantees the Gröbner property. It computes the ordering by the guidance of a criterion inspired by an invariant of an ideal. This talk describes the algorithm, the traditional criterion to guide computation, and a new criterion.

March 16

**Speaker** - Institution

**Abstract**: TBA

March 23

**Speaker** - Institution

**Abstract**: TBA

March 30

**Speaker** - Institution

**Abstract**: TBA

April 6

**Speaker** - Institution

**Abstract**: TBA

April 13

**Speaker** - Institution

**Abstract**: TBA

April 20

**Abstract**: TBA

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