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Temporary wiki for organizing the informal reading groups at the Arithmetic Statistics program at MSRI. Wiki for organizing things at the Arithmetic Statistics program at MSRI.

PLEASE HELP TO WRITE OUR ARTICLE FOR THE EMISSARY DESCRIBING OUR PROGRAM:
[[/EmissaryArticle| Emissary Article]]
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== Cohen-Lenstra heuristics == The schedule for the 5-minute talks on January 26 is [[http://math.ucsd.edu/~alina/5min.html|here]].
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 * chair: Bjorn Poonen
 * The first meeting of the reading group will be Tuesday, January 25, 11-12. (Bjorn will be away the preceding week.) It will be in the 2nd floor seminar room if that room is available.
 * Informal reading group on the Cohen-Lenstra heuristics
 * Reading list (in increasing order of sophistication):
== Seminars ==
 * [[/PostdocSeminar|Postdoc Seminar]]
 . "default" meeting time: Mondays 10 - 10:50
 * [[/MembersSeminar|Members Seminar]]
 . "default" meeting time: Thursdays 10:30 - 11:30 or 11 - 12
 * [[/GraduateSeminar| Graduate Seminar]]
 . "default" meeting time: Monday 2-2:50
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   * MR0750661 Cohen, H. ; Lenstra, H. W., Jr. Heuristics on class groups. Number theory (New York, 1982), 26--36, Lecture Notes in Math., 1052, Springer, Berlin, 1984. == Weekly Meeting Groups ==
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   * MR0756082 (85j:11144) Cohen, H. ; Lenstra, H. W., Jr. Heuristics on class groups of number fields. Number theory, Noordwijkerhout 1983 (Noordwijkerhout, 1983), 33--62, Lecture Notes in Math., 1068, Springer, Berlin, 1984.  * [[/BhargavaShankar|Bhargava-Shankar]]
 . "default" meeting time: Tuesdays 11-12 or 1-2 (see schedule)
 * [[/ExplicitFormula|Explicit formula working group]]
 . "default" meeting time: Wednesday 11:00-12:00
 * [[/ILS|Low-lying zeros seminar]]
 . "default" meeting time: Wednesdays 1.30 - 2.30
 * [[/ParamodularForms|Paramodular Forms]]
 . "default" meeting time: Thursdays 1:30-2:30
 * [[/QuadraticTwists|Quadratic twists of elliptic curves: 2-Selmer rank]]
 . Not meeting until April 5.
 * [[http://wiki.l-functions.org/MSRI_FRG|FRG on L-functions and modular forms data]]
 . "default" meeting time: Fridays 1:30
 * [[/CohenLenstra|Cohen-Lenstra heuristics]]
 . No longer meeting, merged with Bhargava-Shankar
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   * MR1837670 (2003a:11065) Delaunay, Christophe. Heuristics on Tate-Shafarevitch groups of elliptic curves defined over Q. Experiment. Math. 10 (2001), no. 2, 191--196. == UC Berkeley Math Department ==
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   * PDFs of these three papers have been placed in my public directory at MSRI, which I think can be accessed by typing `cd ~bpoonen/Public` at a terminal prompt.

== Iwaniec-Luo-Sarnak ==

 * chair: Kaneenika Sinha
 * times: Wednesdays 11-12
 * Wed. 19 Jan in the Common Room: Henryk Iwaniec, ''Introduction to low lying zeros of L-functions''
   Please note: The first meeting on 19 Jan will be from 2-3 pm in the Baker boardroom.
   Abstract: The content of the paper "Low lying zeros of families of L-functions" by Iwaniec, Luo and Sarnak will be described in general terms.
 * H. Iwaniec, W. Luo, and, P. Sarnak, Low lying zeros of families of L-functions, Publ. IHES, 2000.
    [[attachment:Iwaniec-Luo-Sarnak.pdf]]
 * there is also a study guide and reading list by Steven Miller, at Williams: http://www.williams.edu/go/math/sjmiller/public_html/ntandrmt/

== Bhargava-Shankar ==

 * chair: Barry Mazur
 * times: Thursdays 11-12
 * pp. 2-9 (i.e., the Introduction) of Binary quadratic forms having bounded invariants, and the boundedness of average ranks of elliptic curves

== Quadratic twists of elliptic curves: 2-Selmer ranks ==

 * chair: Jamie Weigandt
 * times: Fridays 11-12
 * Reading list:
   * MR1292115 (95h:11064) Heath-Brown, D. R. The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky. Invent. Math. 118 (1994), no. 2, 331–370.
   * MR2464773 (2010d:11059) Swinnerton-Dyer, Peter. The effect of twisting on the 2-Selmer group. Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 3, 513–526.
   * Kane, Daniel. On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve. Preprint. http://arxiv.org/pdf/1009.1365v1
   * PDFs of these papers have been placed in my public directory at MSRI, which can be accessed by typing `cd ~weigandt/Public` at a terminal prompt.
 * Mondays 4:10-5pm - 60 Evans - MSRI/Evans Lectures
   * Mar. 14 - Barry Mazur
   * Apr. 18 - Melanie Wood
 * Wednesdays 3:40-5pm - 740 Evans - Number Theory Seminar
   * Jan. 26 - Xinyi Yuan (Columbia University) - the Gross--Zagier formula and its generalizations
   * Feb. 9 - Robert Miller (MSRI) - Proving the Birch and Swinnerton-Dyer conjecture
   * Feb. 23 - Sonal Jain (MSRI) - On the minimum canonical height for an elliptic curve over C(t)
   * March. 9 - George Schaeffer, UC Berkeley - The Hecke stability method and isogeny graphs
 * Thursdays 4:10pm - 60 Evans - Colloquium
   * Jan. 27 - Vladimir Rokhlin (Yale University) - DiPerna Memorial Lecture: "A Randomized Approximate Nearest Neighbors Algorithm"
   . http://math.berkeley.edu/index.php?module=announce&ANN_user_op=view&ANN_id=187
   . Alexandre Chorin will be organizing a dinner for the speaker after the lecture.
   * Feb. 3 - Bjorn Poonen - $x^2 + y^3 = z^7$
   . http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=39632
   . Ken Ribet will be organizing a dinner after the talk.
   * Mar. 3 - Keith Conrad - Why do we care about the Riemann Hypothesis?
   . http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=40497
   * Mar. 17 - Vaughan Jones - Random matrices, von Neumann algebras and (2+1)-dimensional topological quantum field theories
   . http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=41811
 * Faculty Club wine dinner, Feb. 25
 * [[http://people.ucsc.edu/~sdasgup2/BAANTAG2.html|Bay Area Algebraic Number Theory and Arithmetic Geometry Day]], April 2
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== Calendar of program events ==

 || Date || Time || Location || Event ||
 ||||||||<tablestyle="width: 80%">'''Week 3: 24-28 January'''||
 ||<rowspan=2> Tue. 25 || 11am-12pm || Baker boardroom if available || reading group on the Cohen-Lenstra heuristics ||
 || 2-3pm || Simons Auditorium || Melanie Wood, Bhargava-Shankar informal study group ||
 ||<rowspan=4> Wed. 26 || 9:30-10:30am || Simons Auditorium || [[http://math.ucsd.edu/~alina/5min.html|5-minute presentations / introductions]] ||
 || 11am-12pm || Simons Auditorium || [[http://math.ucsd.edu/~alina/5min.html|5-minute presentations / introductions]] ||
 || 12-1pm || Baker boardroom || Iwaniec-Luo-Sarnak study group / lunch ||
 || 1:30-3pm || Simons Auditorium || [[http://math.ucsd.edu/~alina/5min.html|5-minute presentations / introductions]] ||
 || Thu. 27 ||<rowspan=2> all day ||<rowspan=2> see link ||<rowspan=2> [[http://www.msri.org/web/msri/scientific/workshops/show/-/event/Wm538|Connections for Women]] [[/ConnectionsForWomenLectureNotes|lecture notes]]||
 || Fri. 28 ||
 ||||||||<tablestyle="width: 80%">'''Week 4: 31 January - 4 February'''||
 |||| all week || see link || [[http://www.msri.org/web/msri/scientific/show/-/event/Wm539|Introductory Workshop]],[[http://wiki.l-functions.org/IntroductoryWorkshopLectureNotes|Lecture notes]] ||
 ||||||||<tablestyle="width: 80%">'''Week 5: 7-11 February''' ||
 ||<rowspan=2> Mon. 7 || 10-10:50am || Simons Auditorium || Andrew Yang - “Low-lying zeros of Dedekind zeta functions” ||
 || 4:10pm || 60 Evans Hall-UC Berkeley || Dr. Henryk Iwaniec - “Counting Integers” ||
 || Tue. 8 || 11-12 || Baker Boardroom || Informal reading group on the Cohen-Lenstra heuristics ||
 || Wed. 9 || 11-12 || Baker Boardroom || Low lying zeros reading group ||
 || Thu. 10 || 11-12 || Simons Auditorium || Carl Pomerance - "Order and Chaos" ||
 || Fri. 11 || 11-12 || Baker room || Informal reading group on Quadratic Twists ||
 || Fri. 11 || 1:30-later || Baker room || frg working group ||
 ||||||||<tablestyle="width: 80%">'''Week 6: 14-18 February''' ||
 || Mon 14 -- Wed. 16 || || || [[http://www.msri.org/web/msri/scientific/workshops/show/-/event/Wm549|Workshop on math journals]] ||
 || Mon. 14 || 10-10:50 || Baker room || Gonzalo Tornaria - "The Brandt module of ternary quadratic forms" ||
 || Mon. 14 || 2-3 || Baker room || Dan Kane - "A problem related to the ABC conjecture" ||
 || Mon. 14 || 4:10-5 || 60 Evans hall, UCB || Jon Hanke - The Arithmetic of Quadratic Forms ||
 || Tue. 15 || 1-2 || Baker room || Bhargava-Shankar "Q & A" with Manjul Bhargava ||
 || Tue. 15 || 2-3 || Baker room (if avail.) || Ranks of Twists with Daniel Kane II ||
 || Wed. 16 || 1:30-2:30 || Baker room || David Farmer- What you need to know about RMT ||
 || Fri. 18 || 1:30-5 || Baker room || FRG Friday ||
 ||||||||<tablestyle="width: 80%">'''Week 7: 22-25 February''' ||
 || all week || || Baker room || FRG workshop ||
 || Wed. 23 || 1:30-2:30 || Simons Auditorium || Andrew Knightly - Petersson's formula and related topics (low lying zeros group) ||
 ||||||||<tablestyle="width: 80%">'''Week 8: 28 February-4 March''' ||
 || Wed. 2 || 1:30-2:30 || Baker room || Duc Khiem Huynh - Lower order terms for the one-level density of elliptic curve L-functions: (low lying zeros group) ||
 || Thu. 3 || 11-12 || Simons || Kumar Murty - Title: The field of Fourier coefficients of a modular form. (members' seminar) ||
 || Thu. 10 || 11-12 || Simons || Henri Cohen - Fun talk on high precision computation of number theoretical constants [[attachment:cohen_high_precision.pdf]] ||
 || Thu. 17 || 11-12 || Simons || Haluk Sengun - Cohomology of Bianchi Groups and Arithmetic ||
 || Fri 18 || 10-5 || Library || FRG Friday ||
 || Mar 31 || 4:10 || 60 Evans || Hendrik Lenstra's "Modelling finite fields" ||
 || Wed Apr 6 || 1:30 || Simons || Wenzhi Luo- Central values of the symmetric square L-functions ||
 || Apr 6 || 3:40 || 740 Evans || Rob Rhoades -- "Arithmetic of Harmonic Maass Forms" ||
 || Th Apr 28 || 11:00 || TBA || Dan Goldston -- "Jumping Champions" ||

Wiki for organizing things at the Arithmetic Statistics program at MSRI.

PLEASE HELP TO WRITE OUR ARTICLE FOR THE EMISSARY DESCRIBING OUR PROGRAM: Emissary Article

This is an example of how to make a separate subpage correctly.

The schedule for the 5-minute talks on January 26 is here.

Seminars

Weekly Meeting Groups

UC Berkeley Math Department

General question group

  • (e.g., average ap ’s, Sato-Tate (the statement), etc.) Not yet scheduled.

Calendar of program events

  • Date

    Time

    Location

    Event

    Week 3: 24-28 January

    Tue. 25

    11am-12pm

    Baker boardroom if available

    reading group on the Cohen-Lenstra heuristics

    2-3pm

    Simons Auditorium

    Melanie Wood, Bhargava-Shankar informal study group

    Wed. 26

    9:30-10:30am

    Simons Auditorium

    5-minute presentations / introductions

    11am-12pm

    Simons Auditorium

    5-minute presentations / introductions

    12-1pm

    Baker boardroom

    Iwaniec-Luo-Sarnak study group / lunch

    1:30-3pm

    Simons Auditorium

    5-minute presentations / introductions

    Thu. 27

    all day

    see link

    Connections for Women lecture notes

    Fri. 28

    Week 4: 31 January - 4 February

    all week

    see link

    Introductory Workshop,Lecture notes

    Week 5: 7-11 February

    Mon. 7

    10-10:50am

    Simons Auditorium

    Andrew Yang - “Low-lying zeros of Dedekind zeta functions”

    4:10pm

    60 Evans Hall-UC Berkeley

    Dr. Henryk Iwaniec - “Counting Integers”

    Tue. 8

    11-12

    Baker Boardroom

    Informal reading group on the Cohen-Lenstra heuristics

    Wed. 9

    11-12

    Baker Boardroom

    Low lying zeros reading group

    Thu. 10

    11-12

    Simons Auditorium

    Carl Pomerance - "Order and Chaos"

    Fri. 11

    11-12

    Baker room

    Informal reading group on Quadratic Twists

    Fri. 11

    1:30-later

    Baker room

    frg working group

    Week 6: 14-18 February

    Mon 14 -- Wed. 16

    Workshop on math journals

    Mon. 14

    10-10:50

    Baker room

    Gonzalo Tornaria - "The Brandt module of ternary quadratic forms"

    Mon. 14

    2-3

    Baker room

    Dan Kane - "A problem related to the ABC conjecture"

    Mon. 14

    4:10-5

    60 Evans hall, UCB

    Jon Hanke - The Arithmetic of Quadratic Forms

    Tue. 15

    1-2

    Baker room

    Bhargava-Shankar "Q & A" with Manjul Bhargava

    Tue. 15

    2-3

    Baker room (if avail.)

    Ranks of Twists with Daniel Kane II

    Wed. 16

    1:30-2:30

    Baker room

    David Farmer- What you need to know about RMT

    Fri. 18

    1:30-5

    Baker room

    FRG Friday

    Week 7: 22-25 February

    all week

    Baker room

    FRG workshop

    Wed. 23

    1:30-2:30

    Simons Auditorium

    Andrew Knightly - Petersson's formula and related topics (low lying zeros group)

    Week 8: 28 February-4 March

    Wed. 2

    1:30-2:30

    Baker room

    Duc Khiem Huynh - Lower order terms for the one-level density of elliptic curve L-functions: (low lying zeros group)

    Thu. 3

    11-12

    Simons

    Kumar Murty - Title: The field of Fourier coefficients of a modular form. (members' seminar)

    Thu. 10

    11-12

    Simons

    Henri Cohen - Fun talk on high precision computation of number theoretical constants cohen_high_precision.pdf

    Thu. 17

    11-12

    Simons

    Haluk Sengun - Cohomology of Bianchi Groups and Arithmetic

    Fri 18

    10-5

    Library

    FRG Friday

    Mar 31

    4:10

    60 Evans

    Hendrik Lenstra's "Modelling finite fields"

    Wed Apr 6

    1:30

    Simons

    Wenzhi Luo- Central values of the symmetric square L-functions

    Apr 6

    3:40

    740 Evans

    Rob Rhoades -- "Arithmetic of Harmonic Maass Forms"

    Th Apr 28

    11:00

    TBA

    Dan Goldston -- "Jumping Champions"

MSRItemp (last edited 2011-04-18 14:30:28 by DavidFarmer)