# Events for 03/06/2020 from all calendars

## Several Complex Variables Seminar

**Time:** 10:20AM - 11:10PM

**Location:** BLOC 605AX

**Speaker:** Shreedhar Bhat, Texas A&M University

**Title:** *Student reading seminar on reproducing kernels*

**Abstract:** More properties of reproducing kernels

## Working Seminar on Quantum Computation and Quantum Information

**Time:** 2:00PM - 3:00PM

**Location:** Bloc 624

**Speaker:** Michael Brannan, TAMU MATH

**Title:** *Quantum doubles of Hopf algebras, Kitaev's model*

## Algebra and Combinatorics Seminar

**Time:** 3:00PM - 3:50PM

**Location:** BLOC 628

**Speaker:** Catherine Yan, Texas A&M University

**Title:** *Counting Rational Parking Functions*

**Abstract:** Let $a,b$ be a pair of co-prime positive integers. An (a,b)-rational parking function is a sequence (x_1, x_2, ..., x_b) of non-negative integers such that x_{(i)} is less than or equal to ia/b for all i, where x_{(i)} is the i-th smallest term of x_1, x_2, ..., x_b. Rational parking functions are important in the study of rational Catalan combinatorics and representation theory of MacDonald polynomials. In this talk we consider rational parking functions of length n, where n is a multiple of b, and present a counting formula for the number of rational parking functions. The techniques are basic combinatorial tools, including lattice path counting, the cycle lemma, and the inclusion-exclusion principle. This is based on a joint work with Yue Cai.