May 19, 2012 in room 151 Sloan on the Caltech Campus
Abstracts Parking Directions to Caltech Dinner
Invited Speakers: Andrei Jorza
(Caltech), Pablo Pelaez (Univeristy of Paris XIII), Kannan Soundararajan (Stanford University), Spencer Bloch (University of Chicago)
Location: All talks will
be held in the Sloan Building (Department of Math) room 151 on the
Caltech campus. Click on campus map to locate Sloan building (we are
building number 37).
Please register at the conference sign in table if you have not already registered online.
- 10:00 - Refreshments
- 11:00 - Andrei
"Converse theorems and p-adic families"
- 11:30 - Break
- 12:30 - Pablo Pelaez (Rutgers University),
"The motivic spectral sequence via birational invariants"
- 2:30 - Lunch Break
- 3:30 - Kannan Soundararajan
"Moments and the distribution of values of L-functions"
- 4:00 - Break
- 5:00 - Spencer Bloch (University of Chicago),
"p-adic Hodge Conjecture"
- Dinner - see below
Andrei Jorza (Caltech)
Converse theorems and
compatibility between the local and global Langlands correspondences on
a certain reductive group can sometimes be reduced to the corresponding
compatibility over some GL(n), with the aid of converse theorems. Such
converse theorems are typically effective only for (globally) generic
representations. In the case of holomorphic Siegel modular forms we
discuss the interplay between a less restrictive converse theorem
(obtained explicitly) and p-adic families to compensate for the fact
that such forms are not generic.
Pablo Peleaz (Universtiy of Paris XIII)
The motivic spectral
sequence via birational invariants
The motivic spectral sequence which relates algebraic K-theory to
motivic cohomology is the analogue in algebraic geometry of the
Atiyah-Hirzebruch spectral sequence which relates topological K-theory
to singular cohomology. In this talk, we will present an approach to
the motivic spectral sequence via birational invariants, and show that
it is equivalent to Voevodsky's approach via the slice filtration.
Kannan Soundararajan (Stanford University)
Moments and the distribution of values of L-functions
I will discuss work on the value distribution and moments of families
of L-functions. We will start with values to the right of the critical
line, where the problem can be well modeled by random Euler products.
This fails on the critical line, and the L-values here have a different
flavor with Selberg's theorem on log-normality being a representative
Spencer Bloch (University of Chicago),
"p-adic Hodge Conjecture"
The p-adic Hodge
conjecture says that for a smooth variety over the p-adic numbers, an
algebraic cycle on the closed fibre (i.e. mod p) lifts to an algebraic
cycle if and only if its crystalline cohomology class is in the
appropriate Hodge filtration level. Recent progress on this conjecture
(joint with M. Kerz and H. Esnault) involving continuous K_0 will be
Parking: Parking at Caltech is free on the
weekends. Please park in the lot located on California Blvd which can
be located on this map.
Directions: Directions to Caltech can
be found by following this link. A map of the Pasadena area can be
Dinner: Dinner will be at Saladang Song. The price will be $15 for students and $25 for all others. Please be sure to register if you plan to attend the dinner as we may not be able to accomodate last minute additions.
Organizers: Dinakar Ramakrishnan, Matthias Flach, Elena
Joshua Nevin - Caltech
Ozlem Ejder - USC
Jay Daigle - Caltech
Yitao Wu - Caltech
Kevin Zhang - Harvard-Westlake School
Marc-Hubert Nicole - Universite Aix-Marseille II
Stephanie Reyes - Caltech
Christopher Perez - Caltech
Dori Bejleri - Caltech
Edward Fan - Caltech
Brian Hwang - Caltech
Lawrence Chung - Caltech
Maria Nastasescu - Caltech
Zhiyu Tian - Caltech
Cliff Blakestad - University of Colordo Boulder
Carl Mendlow - Yale
Mark Kozek - Whittier College
Foo Yee Yeo - Caltech
Hadi Hedayatzadeh - Caltech
Karl Rubin - UC Irvine
Jukka Keranen - UCLA
Liubomir Chiriac - Caltech
Ashay Burungale - UCLA
Henry Poon - UCLA
Sridhar Jagannathan - Pasadena City College
Laura Peskin - Caltech
Richard Hilario - Pomona College
Bisi Agboola - UC Santa Barbara
Brian Lawrence - Caltech
Alexandra Musat - Caltech