Event Type:

Number Theory Seminar

Date/Time:

Tuesday, October 11, 2022 - 10:00 to 10:50

Location:

MFD 112

Local Speaker:

Abstract:

Many of the elementary mathematical structures and principals underlying modern analytical number theory also underly the analytical theory of water waves. The main goal of this talk is to convince the audience that this is indeed the case, and there are many opportunities for number theorists to apply their knowledge to important physical and mathematical problems related to waves. The bulk of the talk will be on elliptic curves, and the focus will be how some elementary aspects of the theory of elliptic curves can be used to demonstrate some elementary physical principals related to the study of deterministic and stochastic waves. I will end with a discussion of two important current problems in the analytical theory of waves for which I believe number theorists can provide important insights: dispersive quantization for the Kortewegâ€”de Vries equation; and the integrability conjecture of the Euler formulation of the deep water wave system in one dimension.

Host: