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Southern California Number Theory Day 2012

Saturday, May 19, 2012 in room 151 Sloan on the Caltech Campus

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Speakers     Location     Schedule      Abstracts     Parking     Directions to Caltech    Dinner    Contact

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Invited Speakers: Andrei Jorza (Caltech), Pablo Pelaez (Univeristy of Paris XIII), Kannan Soundararajan (Stanford University), Spencer Bloch (University of Chicago)

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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).

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Please register at the conference sign in table if you have not already registered online.


9:30 - 10:00 - Refreshments

10:00 - 11:00 - Andrei Jorza (Caltech),
"Converse theorems and p-adic families"

11:00 - 11:30 - Break

11:30 - 12:30 - Pablo Pelaez (Rutgers University),
"The motivic spectral sequence via birational invariants"

12:30 - 2:30 - Lunch Break

2:30 - 3:30 - Kannan Soundararajan (Stanford University),
"Moments and the distribution of values of L-functions"

3:30 - 4:00 - Break

4:00 - 5:00 - Spencer Bloch (University of Chicago),
"p-adic Hodge Conjecture"

5:30 - Dinner - see below

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Andrei Jorza (Caltech)

Converse theorems and p-adic families

The 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 result.




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 explained.

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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 found here.

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.

Contact Organizers: Dinakar Ramakrishnan, Matthias Flach, Elena Mantovan

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




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