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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 18, 11-12. 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'' 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
- "default" meeting time: Mondays 10 - 10:50
- "default" meeting time: Thursdays 10:30 - 11:30 or 11 - 12
- "default" meeting time: Monday 2-2:50
Weekly Meeting Groups
- "default" meeting time: Tuesdays 11-12 or 1-2 (see schedule)
- "default" meeting time: Wednesday 11:00-12:00
- "default" meeting time: Wednesdays 1.30 - 2.30
- "default" meeting time: Thursdays 1:30-2:30
- Not meeting until April 5.
- "default" meeting time: Fridays 1:30
- No longer meeting, merged with Bhargava-Shankar
UC Berkeley Math Department
- 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
Bay Area Algebraic Number Theory and Arithmetic Geometry Day, April 2
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
11am-12pm
Simons Auditorium
12-1pm
Baker boardroom
Iwaniec-Luo-Sarnak study group / lunch
1:30-3pm
Simons Auditorium
Thu. 27
all day
see link
Fri. 28
Week 4: 31 January - 4 February
all week
see link
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
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"