ACO Seminar - J. Andrew Newman

— 4:00pm

Location:
In Person - Wean Hall 8220

Speaker:
J. ANDREW NEWMAN, Postdoctoral Research and Instructor, Department of Mathematical Sciences, Carnegie Mellon University
https://sites.google.com/view/andrewnewman775/home

The Turán problem for spheres

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 Website:
https://aco.math.cmu.edu/abs-24-25/nov14.html

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