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# Events for 02/28/2020 from all calendars

## Mathematical Physics and Harmonic Analysis Seminar

## Banach and Metric Space Geometry Seminar

## Algebra and Combinatorics Seminar

## Geometry Seminar

**Time:** 1:50PM - 2:50PM

**Location:** BLOC 628

**Speaker:** Ram Band, Technion - Israel Institute of Technology

**Title:** *TBA*

**Time:** 3:00PM - 4:00PM

**Location:** BLOC220

**Speaker:** Alex Andoni, Columbia University

**Title:** *TBA*

**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.

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 628

**Speaker:** Baris Coskunuzer, UT Dallas

**Title:** *Minimal Surfaces in Hyperbolic 3-Manifolds*

**Abstract:** In this talk, we will discuss the existence of smoothly embedded closed minimal surfaces in infinite volume hyperbolic 3-manifolds. The talk will be non-technical, and accessible to graduate students.

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