Saturday,
May 19, 2012 in room 151 Sloan on the Caltech Campus
Speakers
Location Schedule
Abstracts Parking Directions to Caltech Dinner
Contact
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).
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Please register at the conference sign in table if you have not already registered online.
Schedule:
9:30
 10:00  Refreshments
10:00
 11:00  Andrei
Jorza (Caltech),
"Converse theorems and padic 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 Lfunctions"
3:30
 4:00  Break
4:00
 5:00  Spencer Bloch (University of Chicago),
"padic Hodge Conjecture"
5:30
 Dinner  see below
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Abstracts:

Andrei Jorza (Caltech)
Converse theorems and
padic 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 padic 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 Ktheory to
motivic cohomology is the analogue in algebraic geometry of the
AtiyahHirzebruch spectral sequence which relates topological Ktheory
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 Lfunctions
I will discuss work on the value distribution and moments of families
of Lfunctions. 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 Lvalues here have a different
flavor with Selberg's theorem on lognormality being a representative
result.


Spencer Bloch (University of Chicago),
"padic Hodge Conjecture"
The padic Hodge
conjecture says that for a smooth variety over the padic 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
Attendees:
Joshua Nevin  Caltech
Ozlem Ejder  USC
Jay Daigle  Caltech
Yitao Wu  Caltech
Kevin Zhang  HarvardWestlake School
MarcHubert Nicole  Universite AixMarseille 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
