Events for 03/26/2024 from all calendars
Number Theory Seminar
Time: 09:45AM - 10:45AM
Location: BLOC 302
Speaker: Radu Toma, University of Bonn
Title: The sup-norm problem for newforms in higher rank
Abstract: I will present some new results on the sup-norm problem in the level aspect for SL(n). The main novelties are in the geometry of numbers, where we develop a general reduction theory with level structure. Connected to it is an investigation of Atkin-Lehner operators in higher rank. The outcome is the first sub-baseline bound in the level aspect for the size of Hecke-Maass cuspidal newforms in unbounded rank.
Nonlinear Partial Differential Equations
Time: 3:00PM - 4:00PM
Location: BLOC 302
Speaker: Dehua Wang, University of Pittsburgh
Title: Hyperbolic and mixed-type problems in gas dynamics and geometry
Abstract: We shall consider the hyperbolic and mixed-type problems arising in gas dynamics and geometry. In particular, the transonic flows past obstacles and in nozzles as well as the isometric embedding in geometry will be discussed.
Departmental Colloquia
Time: 4:00PM - 5:00PM
Location: BLOC 117
Speaker: Persi Diaconis, Stanford University
Title: Adding numbers and shuffling cards
Abstract: When numbers are added in the usual way, 'carries' occur. Carries make a mess and it's natural to ask 'how do the carries go?' How many carries are typical and, if you just had a carry, is it more or less likely that there is a following carry? Surprisingly, the carries form a Markov chain with an 'amazing' transition matrix (are any matrices amazing?). This same matrix occurs in the analysis of the usual way of riffle shuffling cards. I will explain the 'seven shuffles theorem' and the connection. The same matrix occurs in taking sections of generating functions and in understanding the Veronese embedding. I'll try to explain all of this 'in English'.