ICERM fall 2015

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This wiki contains information related to the ICERM fall 2015 special semester Computational Aspects of the Langlands Program, including the latest announcements from the organizers and schedule information for non-workshop weeks. For workshop weeks, please consult ICERM's official web pages: Sep 28-Oct 3, Oct 19-23, Nov 9-13.

For security reasons, one must log in to edit content; please contact one of the organizers for the communal login/password. Each week's schedule will be finalized and transmitted to ICERM the previous Thursday evening; if you make any changes after that time, please also notify Jeff Hoffstein so that ICERM can copy the changes over. (For help with wiki tables, read this.)

Contents

Announcements

  • The 10th floor classroom is available as a collaborative space. The ICERM conference room is available as a quiet working space, especially for graduate students. To book one of these rooms for an activity, see Danielle Izzi at the front desk.
  • ICERM has posted a list of visitors with arrival and departure dates.
  • The questions mentioned during the discussion on the first day of the program in pdf form
  • The organizing meeting for the algebra/NT and algebraic geometry seminars at Brown will take place on Wednesday, September 16. Dan Abramovic writes:

The Brown algebra and algebraic geometry seminar organizing meeting will take place on Wednesday, September 16, at 4pm in Kassar room 205.

Please note special day, time and location.

Please come and provide your suggestions, or send your suggestions in case you can't make it. Also let us know if you would like to be taken off this list, or if you know of someone who would like to join it. The algebra seminar will continue to convene Mondays at 4 in Kassar 105. It is organized by Steve Lichtenbaum and Mike Rosen. The algebraic geometry seminar on Fridays at 3 in Kassar 205. It will be organized by some subset of Nathan, Brendan, Melody and me.

The first scheduled seminar is on Friday, September 18 at 3pm, when Irene Bouw (Ulm) will speak.

Title: Existence of covers of curve in positive characteristic

Abstract: We discuss some results on the existence and nonexistence of covers of curves with prescribed tame ramification in positive characteristic, We consider construction of covers in positive characteristic using stable reduction of covers in characteristic zero. This yields results on Hurwitz curves.

  • Jeff Hoffstein will be teaching a graduate course this semester that may be of interest to some junior participants. To quote:

Hi Everyone,

I'll be giving what is essentially a second year graduate class in analytic algebraic number theory. It will start this coming Tuesday and will be held, at the moment, from 2:30 - 3:50 on Tuesdays and Thursdays in Kassar 105 in the math dept on the corner of George and Thayer. The class will develop the basic theory of algebraic number fields, and present Hecke's approach to obtaining the analytic continuation and functional equation of the Dedekind zeta function. Please let me know if you might be interested in attending. If there is sufficient interest I will move the class to ICERM.

--Jeff Hoffstein

  • There will be an AGNES (Algebraic Geometry Northeastern Series) conference October 2-4, immediately after the first thematic workshop; this includes a public lecture Friday evening by Jordan Ellenberg. Those wishing to attend are asked to register here as soon as possible.
  • ICERM is soliciting proposals for their new Collaborate@ICERM program, in which groups of 3-6 gather for focused research. Applications from collaborations originating from semester programs are specially encouraged!

This week schedule

Unless otherwise specified, activities will take place in the 11th floor lecture room.

The week of September 9-11

How to read this table: each row represents a 30-minute time block starting at the specified time, except for rows labeled in red which denote 15-minute blocks. For example, check-in starts Wednesday at 9:00 and ends Wednesday at 1:30; the welcome session starts Wednesday at 1:45 and ends Wednesday at 2:00.


Time Sep 9 (Wed) Sep 10 (Thu) Sep 11 (Fri)
9:00 check-in
9:30 Overview of the Langlands program (Kiran S. Kedlaya) Computational problems: the interesting vs the possible (Andrew Sutherland)
10:00-10:15
10:15-10:30 Introduction to the LMFDB (David Farmer)
10:30
11:00-11:15 Introduction to computing complete number theoretic data: number fields (John Jones)
11:15-11:30
11:30 grad/postdoc talks
12:00
12:30
1:00
1:30-1:45
1:45-2:00 Welcome (ICERM director, Jill Pipher)
2:00 Discussion: semester topics and goals (moderated by Alina Bucur) Introduction to automorphic forms (Ralf Schmidt) grad/postdoc talks
2:30
3:00 grad/postdoc talks
3:30 (coffee/tea)
4:00 Discussion: set schedule for the semester (all of us) What are motives? (David Roberts) L-functions: the glue that holds the world together (Brian Conrey)
4:30 Organizational meeting for seminars and minicourses
5:00
5:30 welcome reception
6:00
6:30


Next week schedule

Unless otherwise specified, activities will take place in the 11th floor lecture room.

The week of September 14-18


Time Monday Tuesday Wednesday Thursday Friday
10:00 course on quaternion algebras

(John Voight)

work day

(no scheduled activities)

course on quaternion algebras

(John Voight)

Introduction to Motives - part I (David Roberts) course on quaternion algebras

(John Voight)

10:30
11:00 introductions, announcements Paramodular conjecture for genus 2 curves (Ralf Schmidt)
11:30
12:00 lunch, informal discussion,

work on LMFDB (in conference room)

12:30
1:00
1:30
2:00 Stable reduction and computation of bad reduction Euler factors - part I (Irene Bouw, University of Ulm)
2:30
3:00 Brown algebraic geometry seminar
3:30 (coffee/tea)
4:00 Brown algebra/NT seminar research seminar: David Harvey
Counting points on hypersurfaces
4:30

Weekly schedule template

Effective Sep 14-Dec 4, excluding workshop weeks (Sep 28-Oct 3, Oct 19-23, Nov 9-13) and holidays (Oct 12??, Nov 26-27). This schedule will be finalized during the first week, whose schedule is different (see separate section). For seminars at Brown, allow 15 minutes to walk (uphill).

Additional activities for graduate students/postdoc to be scheduled later: peer-to-peer seminar, professional development seminar.

Time Monday Tuesday Wednesday Thursday Friday
10:00 course on quaternion algebras

(John Voight)

work day

(no scheduled activities)

course on quaternion algebras

(John Voight)

minicourses

(various lecturers)

course on quaternion algebras

(John Voight)

10:30
11:00 introductions, announcements problem session

(lab meeting)

11:30
12:00 lunch, informal discussion,

work on LMFDB (in conference room)

12:30
1:00
1:30
2:00 minicourses

(various lecturers)

2:30
3:00 Brown algebraic geometry seminar
3:30 (coffee/tea)
4:00 Brown algebra/NT seminar research seminar
4:30

Upcoming activities (tentative)

Material in this section is subject to change until it is incorporated into a week's schedule.

  • Sep 14, Sep 21, Oct 5 (all Mondays): Irene Bouw and Stefan Wewers, Stable reduction and computation of bad reduction Euler factors. Note: the meeting on Sep 21 will be 1-2:30 rather than 2-3:30.
  • More minicourses TBA.
  • Research seminar: Sep 17: David Harvey
  • Oct 12:

Other local events of possible interest

Past announcements

  • Welcome to ICERM! If you want to beat the crowds on Wednesday, you can check in Tuesday (Sep 8) anytime between 9 AM and 5 PM.
  • A preliminary list of long term participants with the projected dates for their visits is now available as pdf.
  • Past weekly schedules will be posted here.
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