ICERM fall 2015

Revision as of 20:52, 16 September 2015

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.)

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.

How to read this table: each row represents a 30-minute time block starting at the specified time. For instance, the research seminar starts at 4pm on Thursday.

The week of September 14-18

Next week schedule

Unless otherwise specified, activities will take place in the 11th floor lecture room. The "Next week schedule" is not finalized; it is a work in progress, and may change.

How to read this table: each row represents a 30-minute time block starting at the specified time. For instance, the research seminar starts at 4pm on Thursday.

The week of September 21-25

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). 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.

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.
• Additional minicourses: Noam Elkies, What is a K3 surface? (More TBA.)
• Research seminar: Sep 17: David Harvey, Sep 24: Joe Silverman
• Oct 12: Brown University holiday, plans uncertain.

Other local events of possible interest

• Weekly: Jeff Hoffstein is teaching a graduate course at Brown on L-functions Tu/Th 2:30-3:50. It is based on these notes.
• September 8-12: BU-Keio University Workshop, Boston University
• September 15: Boston College-MIT number theory seminar, MIT
• October 2: Public lecture by Jordan Ellenberg, Brown
• October 2-4: AGNES conference, Brown
• October 6: Boston College-MIT number theory seminar, Boston College
• October 24: Minisymposium, ICERM
• November 3: Boston College-MIT number theory seminar, MIT
• November 20-21: CDM (Current Development in Mathematics) conference, Harvard
• Weekly seminars: Boston University algebra (Mon 4:15-5:15), Harvard/MIT algebraic geometry (Tue 3-4), MIT number theory (Tue 4:30-5:30), Harvard number theory (Wed 3-4)

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.

LMFDB Work

List of some places that need work with examples. Please email Holly when you inevitably find more!

• Classical Modular Forms-

Weight >12 is showing n/a everywhere even though sometimes there is a link

http://beta.lmfdb.org/ModularForm/GL2/Q/holomorphic/ranges?level=1-50&weight=2-50&character=0&Submit=Search

http://beta.lmfdb.org/ModularForm/GL2/Q/holomorphic/ranges?level=&weight=&character=-1&Submit=Search

• Classical Modular Forms-

Downloading coefficients is failing

• Classical Modular Forms-

Server Error when a page doesn't exist

http://beta.lmfdb.org/ModularForm/GL2/Q/holomorphic/100/2/0/

• Classical Modular Forms-

When in \G_1 for small wt. and level, produces a table with negative dimensions?

http://beta.lmfdb.org/ModularForm/GL2/Q/holomorphic/11/2/

• Classical Modular Forms-

When you put something inappropriate into a search box, instead of letting you know as in the elliptic curves page, it gives a server error.

http://beta.lmfdb.org/ModularForm/GL2/Q/holomorphic/ranges?level=r&weight=&character=0&Submit=Search

• Maass Forms-

Clicking on browse produces a server error

http://beta.lmfdb.org/ModularForm/GL2/Q/Maass/BrowseGraph/1/10/0/10/

• Maass Forms-

Under displaying coefficients for a form, there is a search box without any explanation of what an acceptable entry is or submit button

http://beta.lmfdb.org/ModularForm/GL2/Q/Maass/4f5558cb88aece2646000014

• Siegel Modular Forms-

In browsing by weights, 1-100 doesn't work, but the subset 20-30 works fine.

http://beta.lmfdb.org/ModularForm/GSp/Q?page=dimensions&level=17&group=Sp4Z&weight_range=1-100

• L-functions-

Problem with some Z-functions graphs, for example RH is false? If you go through the modular form it's bad, but through the elliptic curve it's ok.

problem: http://beta.lmfdb.org/L/ModularForm/GL2/Q/holomorphic/14/2/0/a/0/

fine: http://beta.lmfdb.org/L/EllipticCurve/Q/14.a/

• L-functions-

L-function display alignment issue at least on some browsers

http://beta.lmfdb.org/L/Character/Dirichlet/3/2/

• L-functions-

if you choose to tensor product two elliptic curves, then select a random elliptic curve in each box and click on “tensor these”, you get a server error

http://beta.lmfdb.org/TensorProducts/show/?obj1=EllipticCurve%2FQ%2F272080%2Fl%2F2&obj2=EllipticCurve%2FQ%2F132800%2Fc%2F1

Also, a wish list! Please also email Holly with things you would like to see here.

• In general, the database/website should be explicit about what it knows and doesn't know, for example, the ranges that are available for downloading coefficients of modular forms. It shouldn't give you a server error every time a page doesn't exist or information is not in the database.

http://beta.lmfdb.org/ModularForm/GL2/Q/holomorphic/51/2/0/

• Elliptic Curves-

Higher rank elliptic curves would be nice

• Galois Groups-

A knowl or would be nice to explain the notation or origin of name for the uglier groups.