GAUSS Seminar

Speaker:

Praneel Samanta

Topic:

Resonance Sums and Hypothesis S

$Praneel Samanta & Nitesh Mathur Speaker/Title: Praneel Samanta, Resonance Sums and Hypothesis S - Resonance is an important phenomenon of increased amplitudes which may occur between two vibration systems. Fixing one vibration system, one may change the other to detect resonance frequencies of the first, and hence gain spectral information on the oscillation nature of the first vibration system. Vibrations of automorphic forms are different from the usual vibrations in Euclidean space. In this talk, we will discuss an important open question that is the study of resonance between Fourier coefficients of automorphic forms against certain exponential functions, whose oscillatory behaviors are well known.$

Abstract:

Resonance is an important phenomenon of increased amplitudes which may occur between two vibration systems. Fixing one vibration system, one may change the other to detect resonance frequencies of the first, and hence gain spectral information on the oscillation nature of the first vibration system. Vibrations of automorphic forms are different from the usual vibrations in Euclidean space. In this talk, we will discuss an important open question that is the study of resonance between Fourier coefficients of automorphic forms against certain exponential functions, whose oscillatory behaviors are well known.

Meeting ID: 931 9296 4149 | Password: GAUSS

GAUSS will meet Tuesdays at 3:30-4:20 PM in Fall 2021.

Event Date:

October 19, 2021 - 3:30pm to 4:20pm

Location:

SH 176 and Online (See url)

URL:

https://uiowa.zoom.us/j/93192964149

Host:

Praneel Samanta & Nitesh Mathur

Calendar Category:

Seminar

Seminar Category:

GAUSS