Thursday, November 14, 2024, 3 – 4pm

The homeomorph Turán problem is the extremal hypergraph problem to determine the maximum number of facets in a pure d-dimensional simplicial complex on n vertices that does not contain a subcomplex homeomorphic to some fixed d-dimensional topological space. The d = 1 case of this problem (i.e. subdivisions of a fixed graph) was settled decades ago by Mader, and in the last few years there has been substantial progress for the d = 2 case by many different researchers. In this talk I will outline some of this recent progress and then turn attention to joint work with Marta Pavelka in which we study the homeomorph Turán problem for the d-dimensional sphere and tie the problem to an important enumeration question of Gromov.

4:00 pm → Tea and Cookies sponsored by Jane Street, Math Lounge Wean 6220 (bring your own mug if you have one)

Event Type: Seminars
Room Number: In Person
Building: Wean Hall 8220
Speaker's Name: J. ANDREW NEWMAN
Speaker Website: sites.google.com…
Speaker's Professional Title: Postdoctoral Research and Instructor, Department of Mathematical Sciences, Carnegie Mellon University
Talk Title: The Turán problem for spheres
For More Information: bbukh@math.cmu.edu
Affiliations: Computer Science Department (CSD), Tepper School of Business
Organization(s): Department of Mathematical Sciences
Event Website Title: Event Website
Event Website URL: aco.math.cmu.edu…