Department of Mathematics

# Seminar Series

## Upcoming Seminars

TBA

## Recent Seminars

**SPRING 2021**

**Date and Time: **Friday, April 16, at 8:50 AM

**Location: Zoom link**

**Speaker: **Marat Markin

**Title:** *On Spectral Mapping Theorems and Asymptotics of Scalar Type Spectral C0-Semigroups*

**Abstract: **We establish spectral inclusion and mapping theorems for scalar type spectral operators
and thereby extend a *weak spectral mapping theorem* and a *generalized Lyapunov stability theorem*, known to hold for the C_{0}-semigroups of normal operators on complex Hilbert spaces, to the more general case
of the C_{0}-semigroups of scalar type spectral operators on complex Banach spaces. For such semigroups,
we also obtain a spectral mapping theorem for point and continuous spectrum and exponential
estimates with the best stability constants. Further, we extend to a Banach space
setting the *Gearhart-Prüss-Greiner characterization* of uniform exponential stability for C_{0}-semigroups on complex Hilbert spaces and acquire as an instant corollary a characterization
of uniform exponential stability for scalar type spectral and eventually norm-continuous
C_{0}-semigroups.

**FALL 2020**

**Date and Time: **Friday, October 30, at 9 AM

**Location:** Zoom link

**Speaker: **Marat Markin

**Title: ***On Weak Spectral Mapping Theorems, **Spectral Structure and Asymptotics **of C _{0}-Semigroups *

*Generated by Scalar Type Spectral Operators*

**Abstract: **We establish a *weak spectral mapping theorem* for scalar type spectral operators and apply it to extend a *weak spectral mapping theorem *and the *generalized Lyapunov stability theorem*, known to hold for the C_{0}-semigroups of normal operators on complex Hilbert spaces, to the more general case
of C_{0}-semigroups of scalar type spectral operators on complex Banach spaces. For such semigroups, we also reveal finer spectral structure, obtain
exponential estimates, and establish an analogue of the *Gearhart-Prüss-Greiner characterization* of the uniform exponential stability for C_{0}-semigroups on complex Hilbert spaces.

**Date and Time: **Friday, October 23, at 9 AM

**Location:** **Zoom**

**Title**: *Automorphism Groups of Spatial Graphs and Hyperplane Arrangements over Finite Fields*

**Speaker**: Oscar Vega

**Date and Time: **Friday, September 25, at 9 AM

**Location:** **Zoom**

**Title**: *Zero distribution of a Sheffer sequence*

**Speaker**: Khang Tran

**Abstract**:

**Date and Time: **Friday, September 11, at 9 AM

**Location:** Zoom

**Title**: *Studying Heuristics and Problem Solving: **Highlights of my work during **My Difference in Pay Leave*

**Speaker**: Agnes Tuska

**Abstract: **As I planned in my Difference in Pay Leave application for the 2019-2020 academic
year, I helped Dr. Andrew Benedek to organize and run the 2nd International Conference
on Heuristics: Motivating, Orienting and Modeling Invention in Balatonfured, Hungary,
August 30-September 1, 2019. The program of the conference is available at the website

heurisztika.btk.mta.hu/en/program.

As a continuation of our work, I proposed and led the organization of a special session on How to Solve It? Heuristics and Inquiry Based Learning with co-organizers Mario Banuelos and Andrew Benedek for the American Mathematical Society’s Spring Western Sectional Meeting,

California State University, Fresno, May 2-3, 2020

(see ams.org/meetings/sectional/2272_program_ss18.html#title).

I was a scheduled presenter there. The conference was cancelled due to the pandemic. However, I decided to give the presentation I planned for the AMS meeting on George Polya’s influence on mathematics competitions in the USA at the History of Mathematics & Teaching of

Mathematics International Conference (see https://www.uni-miskolc.hu/hmtm/ ), in which I was a member of the Organizing and Scientific Committee. During April, we re-organized the conference into a virtual conference, still hosted by the University of Miskolc, May 20-24, 2020. Later, as invited speaker, I also presented an extended version of this talk at the online Summer University/Intensive Course on “Central European Contributions to the History of Mathematics and Teaching Mathematics”, organized by the CEEPUS Network, coordinated by the University of Miskolc, July 6-17, 2020. Now I want to share some of my findings with you in the Fresno State community, too!

**FALL 2019**

**Date and Time: **Friday, November 8, 2019, at 9 AM

**Location:** PB 032

**Title**: *On the Gevrey Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation*

**Speaker**: Marat Markin

**Abstract: **

**Date and Time: **Friday, October 18, 2019, at 9 AM

**Location:** PB 032

**Title: ***Two-intersection sets in the project space PG(3,9)*

**Speaker: **Morgan Rodgers

**Abstract: **

**Date and Time: **Friday, September 27, 2019, at 9 AM

**Location:** PB 032

**Title: ***Rainbow Spanning Trees in Edge-Colored Complete Graphs*

**Speaker: **Katherine Perry, Ph.D. (Soka University)

**Abstract: **

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**If you need a disability-related accommodation or wheelchair access information, please
contact the mathematics department at 559.278.2992 or e-mail ** mathsa@csufresno.edu. **Requests should be made at least one week in advance of the event.**