**Location**: Pickard Hall, Room 478,

411 S. Nedderman Dr., Arlington, TX 76019

**Phone**: 817-272-3261

**Fax**: 817-272-5802

**Email**: math@uta.edu

# Colloquia & Seminars

**Fall 2022 Colloquia**

**Title:** "**Paramodular Forms**"

**Abstract:** "This is a survey talk on recent developments in the theory of Siegel modular forms of degree 2, in particular paramodular forms. We will explain how these objects fit into the bigger picture of the Langlands program. One major guiding principle is the Paramodular Conjecture, a 2-dimensional version of the famous Modularity Theorem (formerly Taniyama-Shimura conjecture) connecting elliptic curves and classical modular forms. We will also explain the Multiplicity One Theorem for paramodular forms."

**When:**

**Dr. Ralf Schmidt**

Professor and Chair

Department of Mathematics

University of North Texas

**Where:** Pickard Hall, Room 311

#### Fall 2022 Seminars

**Title:** "**Left-Zero Divisor Graphs of Certain Matrices Over Commutative Rings**"

**Abstract: **The left zero-divisor graph of a non-commutative ring R is a directed graph having the non-zero zero divisors of R as the vertices. For two left-zero divisors A and B of R, there is an edge from A to B if AB = 0. The focus of this talk is on the zero-divisor graphs of a special type of “tri-Diagonal Matrices” over finite commutative rings. To better describe the entire graph, a smaller class graph is constructed and used to provide an overall picture about the larger graph. Graph theory properties of both the class graph and the entire left-zero divisor graph will be discussed.

**When:**

**Aihua Li**

Professor

Department of Mathematics

Montclair State University

**Where:** Pickard Hall, Room 311