Thursday September 06, 2018 4:00 PM  5:00 PM Math Tower P131
 Mark Pollicott, University of Warwick
Dimensions of Cantor sets and Diophantine approximationThere are two recent cases where a specific knowledge of the dimension of certain Cantor set in the unit interval has had applications to problems in the Diophantine approximation. The first is on estimates by Matheus and Moriera on the size of the difference between the Lagrange and Markoff spectra, and the second is on the work of BourgainKontorovich and Huang on the Zaremba conjecture. We will talk about these problems and, in particular, about the progress that has been made in estimating the dimension of such dynamically defined Cantor sets.

Thursday September 13, 2018 4:00 PM  5:00 PM Math Tower P131

No Colloquium

Thursday September 20, 2018 4:00 PM  5:00 PM Math Tower P131
 Pace Nielsen, Brigham Young University
Why Euclidean domains are both easier and harder than you thinkWe give a gentle introduction to the proof that there is a Euclidean domain with no multiplicative norm.

Thursday September 27, 2018 4:00 PM  5:00 PM Math Tower P131
 Boris Bukh, Carnegie Mellon
TBATBA

Friday September 28, 2018 4:00 PM  5:00 PM SCGP 102
 Federico Rodriguez Hertz, Penn State University
TBATBA

Thursday October 04, 2018 4:00 PM  5:00 PM Math Tower P131
 Kevin Ford, Univ. of Illinois at UrbanaChampaign
TBATBA

Thursday October 11, 2018 4:00 PM  5:00 PM Math Tower P131
 Lenny Ng, Duke
TBATBA

Thursday October 18, 2018 4:00 PM  5:00 PM Math Tower P131
 Ailana Fraser, UBC
TBATBA

Thursday October 25, 2018 4:00 PM  5:00 PM SCGP 102
 Nigel Hitchin, University of Oxford
TBAThis is a joint lecture with the SCGP Workshop Geometrical Aspects of Supersymmetry.

Thursday November 29, 2018 4:00 PM  5:00 PM Math Tower P131
 Bhargav Bhatt, University of Michigan
TBATBA

