Mathematics Department - Number Theory Learning Seminar - Spring 2017

Number Theory Learning Seminar - Spring 2017



Organizer(s)

Matthew C Welsh

Archive




Past Talks


Wednesday, March 22nd

Arthur Baragar , UNLV

"Circles"

Time: 3:15 PM
Location: Hill 525
Abstract: A quick journey through a number of interrelated results, touching on continued fractions, the Apollonian packing, the Markoff equation, Tchebechev polynomials, descent, heights, K3 surfaces, elliptic curves, Bezout's theorem, and intersections.


Wednesday, March 1st

Matthew Welsh, Rutgers University

"L-functions for a Family of K3 Surfaces"

Time: 3:15 PM
Location: Hill 525
Abstract: I will attempt to explain how to compute the L-functions of an infinite family of K3 surfaces in terms of those of a family of elliptic curves. The calculation will show modularity for a few of these L-functions.


Wednesday, February 22nd

Surya Teja Gavva, Rutgers University

"Trilinear forms in Kloosterman fractions."

Time: 3:15 PM
Location: Hill 525
Abstract: I will talk about the paper of S.Bettin and V. Chandee where they obtain bounds on trilinear forms in Kloosterman fractions, improving the work of Duke, Friedlander, Iwaniec [DFI97


Wednesday, February 15th

Katie McKeon, Rutgers University

" Dirichlet Series and Kakeya Sets"

Time: 3:15 PM
Location: Hill 525
Abstract: We will perform some calculations and elaborate on a few comments made by Jean Bourgain in the essay 'Harmonic Analysis and Combinatorics: how much may they contribute to each other?' In particular, we will see how Montgomery's large values conjecture relates to a conjecture about Kakeya sets.


Wednesday, February 1st

Surya Teja Gavva, Rutgers University

"Twisted Second moment of the Riemann zeta function."

Time: 3:15 PM
Location: Hill 525
Abstract: The asymptotics for mean-square of the product of the Riemann zeta-function with an arbitrary Dirichlet polynomial have been consistently used to understand the distribution of values, zeroes, upper and lower bounds for sizes of the zeta function. I'll try to talk about a recent result of Bettin, Chandee, Radziwill where they go beyond theta=1/2, i.e., length of the Dirichlet polynomial is T^{theta}, theta > 1/2. Their main tool is an estimate for trilinear forms in Kloosterman fractions.


Wednesday, January 25th

Claire Burrin, Rutgers University

"Effective lattice-point counting, after Gorodnik and Nevo"

Time: 3:15 PM
Location: Hill 525
Abstract: To conclude my review of dynamical counting methods, I want to discuss the approach to lattice point counting problems of Gorodnik and Nevo.


This page was last updated on February 09, 2016 at 10:04 am and is maintained by webmaster@math.rutgers.edu.
For questions regarding courses and/or special permission, please contact ugoffice@math.rutgers.edu.
For questions or comments about this site, please contact help@math.rutgers.edu.
© 2017 Rutgers, The State University of New Jersey. All rights reserved.