Everytopic Seminar - Spring 2015
Room 226, Goldsmith building
Organizer: Olivier Bernardi
The Everytopic Seminar is a seminar aimed at a broad audience of mathematicians.
The talks are 80 minutes long. The first half the talk should be given in a
colloquium style, and should be accessible to faculty and graduate students
from any field of mathematics. It should allow everyone to grasp the content and
significance of the results being discussed. The second half of the talk can be in
the style of a regular research seminar, providing the audience with a deeper understanding
of the results as well as some details of the proofs.
Tuesday January 27
Speaker: Anna Medvedovsky (Brandeis)
Title: The nilpotence method for obtaining lower bounds for dimensions of
I will present a new method for obtaining a lower bound on the
dimension of a Hecke algebra acting on modular forms modulo a prime p.
Along the way, I will discuss linear recurrence sequences in
characteristic p. The method is elementary and the talk should be
accessible to a wide audience.
Tuesday February 3
Speaker: Siu-Cheong Lau (Harvard)
Tuesday February 10
Speaker: Alison Miller (Harvard)
Tuesday February 24
Speaker: Dylan Rupel (Northeastern)
Tuesday March 3
Speaker: Arunima Ray (Brandeis)
Tuesday March 10
Speaker: Paul Monsky (Brandeis)
Title: Some Characteristic 2 Hecke algebras. A theme of Nicolas and Serre, with variations
Abstract: For each odd prime p, there is a formal Hecke operator Tp: Z_2[[x]] -> Z_2[[x]]. The mod 2 reductions of modular forms give rise to certain Tp stable subspsaces of Z_2[[x]]. Nicolas and Serre have analized the action of the Tp on a space attached to level 1 forms. Their space is spanned by tho odd powers of x+x^9+x^25+x^49+... . They show that tge Hecke algebra arising is a power of Serre ring in T3 and T5.
I'll sketch an alternative proof and present related results on some spaces attached to level 3 forms. One of the Hecke algebras I get is a power series ring in T7 and T13 with an element of square o adjoined. My arguments are not technical, and the talk should be accessible.
Tuesday March 17
Tuesday March 24
Speaker: Jonathan Novak (MIT)
Tuesday March 31
Speaker: Charles Smart (MIT)
Map of Brandeis University - the Department of Mathematics (Goldsmith building) is U24 on this map.
For further information please contact:
Olivier Bernardi (bernardi at brandeis dot edu).