Thursday September 27, 2018 2:30 PM  03:30 AM P131
 Boris Bukh, Carnegie Mellon University
Nearly orthogonal vectorsHow can d+k vectors in R^d be arranged so that they are as close to orthogonal as possible? We show intimate connection of this problem to the problem of equiangular lines, and to the problem of bounding the first moment of isotropic measures. Using these connections, we pin down the answer precisely for several values of k and establish asymptotics for all k. Joint work with Chris Cox.

Thursday October 04, 2018 2:30 PM P131
 Nicholas Edelen, MIT
Effective Reifenberg theorems for measuresThe Jones' $β$numbers quantify how ``linear'' is the support of a measure. These have important uses in singularity analysis of solutions to PDE and harmonic analysis. In this talk, I explain joint work with Aaron Naber and Daniele Valtorta which gives quantitative control and Lipschitz structure on measures satisfying natural conditions on the $β$numbers, and generalizations of our results to infinitedimensional spaces. Our work can be viewed as an ``analyst's travelingsalesman'' type theorem.

Thursday October 11, 2018 2:30 PM P131
 Daniel Jerison, Tel Aviv University
TBATBA

Thursday October 18, 2018 2:30 PM P131
 Matthew Badger, University of Connecticut
TBATBA

Thursday October 25, 2018 2:30 PM P131
 Philippe Sosoe, Cornell University
TBATBA

Thursday November 15, 2018 2:30 PM P131
 Vyron Vellis, University of Connecticut
TBATBA

