{"id":1968,"date":"2021-03-04T10:00:36","date_gmt":"2021-03-04T08:00:36","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1968"},"modified":"2021-09-12T13:10:56","modified_gmt":"2021-09-12T10:10:56","slug":"online-seminar-u-haifa-topology-geometry-seminar-on-march-7-2021","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1968","title":{"rendered":"Online seminar, U. Haifa Topology & Geometry seminar on March 7, 2021"},"content":{"rendered":"\n

A recording of the talk is available here<\/a>:<\/p>\n\n\n\n

Topology & Geometry Seminar<\/u><\/strong><\/p>\n\n\n\n

Speaker: Florian Frick, Carnegie Mellon University<\/p>\n\n\n\n

Topic: The topological Tverberg problem beyond prime powers<\/p>\n\n\n\n

Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot il” for the Zoom ID and password.<\/p>\n\n\n\n

Time: 16:00<\/p>\n\n\n\n

Date: Sunday, March 7, 2021<\/p>\n\n\n\n

                                                   Abstract<\/u><\/strong>:<\/u><\/strong><\/p>\n\n\n\n

Given d and q the topological Tverberg problem asks for the minimal n such that any continuous map from the n-dimensional simplex to R^d identifies q points from pairwise disjoint faces. For q a prime power n is (q-1)(d+1). The lower bound follows from a general position argument, the upper bound from equivariant topological methods. It was shown recently that for q with at least two distinct prime divisors the lower bound may be improved. For those q, non-trivial upper bounds had been elusive. I will show that n is at most q(d+1)-1 for all q. I had previously conjectured this to be optimal unless q is a prime power. This is joint work with Pablo Sober\u00f3n.<\/p>\n","protected":false},"excerpt":{"rendered":"

A recording of the talk is available here: Topology & Geometry Seminar Speaker: Florian Frick, Carnegie Mellon University Topic: The topological Tverberg problem beyond prime powers Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot…
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