Abstracts
for the Seminar

Spring 2015

**Speaker: **Ed Swartz, Cornell University

**Title: **Lower bound theorems for manifolds with boundary

**Time:** 2:30 PM, Monday, March 16, 2015

**Place:** Malott 206

**Abstract:** This talk will have a number of elements designed specifically for graduate students and others at the very beginning of their mathematical career.
Suppose X is a triangulated compact manifold with boundary and we know how many vertices, edges and triangles are in X. What is the minimum number of tetrahedra needed? More generally, if f_i is the number of i-dimensional simplices and we know f_0,f_1,... f_i, what is the minimum for f_{i+1}? We will discuss the current status of this problem. Along the way we will meet handle decompositions of PL-manifolds and the stacked manifolds recently introduced by Murai and Nevo.

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