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Texas A&M University

Events for 03/06/2020 from all calendars

Several Complex Variables Seminar

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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

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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

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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.