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'.