This is the home page of STAGE, the Seminar on Topics in Arithmetic, Geometry, Etc. To get on (or off) the seminar mailing list, contact me (Kiran Kedlaya).

Seminar news

This semester's schedule is now full! I'll open next semester's schedule as soon as I can generate consensus on a meeting time; my first inclination is to stick to Monday afternoons. If you object, let me know. Also, I'll probably start next semester as I did this semester, with the organizational meeting plus one talk. If you want to give that talk, let me know. (I may give it myself if no one volunteers.)

For the fall 2006 semester, the meeting time is Monday 1-3 PM (room 26-322).

Some topics I am interested in hearing about (maybe next semester) but which are not yet scheduled:

• the André-Oort conjecture, and its conditional proof (under the Generalized Riemann Hypothesis) as announced by Flickler-Yafaev;
• maybe some classical Hodge theory;
• Faltings' approach to p-adic Hodge theory, as in the recent work of Andreatta.

Conference news

I like to collect news about conferences of interest to students in arithmetic geometry. Note that I also maintain an overall list of conferences in number theory. (Suggestions for either list are welcome!) Also don't forget about the Number Theory Web conference list.

• McMaster University (Hamilton, Ontario) is hosting a summer school on Iwasawa theory August 9-13. It looks like their model is the Arizona Winter School: the intended audience is graduate students, some of whom will work on projects led by one of the four lecturers, and will present the projects at the end of the school.
• William Stein has announced SAGE Days 3 for February 17-21 at IPAM (UCLA); as usual, William can probably fund some students or postdocs.
• William Stein and others are organizing an MSRI workshop on interactive parallel computation January 29-February 2; the deadline for funding is December 1.
• The 2007 Arizona Winter School will be held March 10-14, on the topic of p-adic geometry. The speakers will be Matt Baker, Brian Conrad, Jeremy Teitelbaum, and myself. As usual, a number of graduate students will be funded, some to participate in projects associated to the lecture courses. The application is now available; it is due January 12.
• Ruochuan pointed out that CIRM (Luminy) is hosting a summer school on Serre's conjecture in summer 2007 (July 9-20). I have no further details right now.

Schedule

Date	Speaker	Topic
September 11	1-2: Liang Xiao	p-adic modular forms (after Katz) (notes; may be revised)
	2-3: everyone	organizational meeting (joint with BAGS)
September 18	1-2: Kiran Kedlaya	Dieudonné-Manin, slopes, and all that
	2-3: Kiran Kedlaya	Slope filtrations made easy, or at least easier (preprint)
September 25	1-2 only: Abhinav Kumar	Deformation theory of Galois representations (after Mazur)
October 2	1-2: Liang Xiao	p-adic modular forms (continued)
	2-3: Jay Pottharst	A quick introduction/review to (phi, Gamma)-modules, I
October 9	NO SEMINAR	(Columbus Day holiday; KSK away)
October 16	1-2: Ruochuan Liu	The p-adic local Langlands correspondence (after Colmez), I
	2-3: Josh Nichols-Barrer	Counting points on algebraic stacks (after Behrend) (Behrend's preprint)
October 23	12-1, room 2-190: Kiran Kedlaya	Zeta functions of curves over finite fields (lunch seminar for graduate students
	1-2, room 2-290	Pizza after the 12:00 talk
	2-3: Jay Pottharst	A quick introduction/review to (phi, Gamma)-modules, II
October 25, 3-4 PM, Harvard SC 507	Laurent Berger	Families of p-adic representations (number theory seminar)
October 30	NO SEMINAR	(KSK away)
November 6	1-2: Ruochuan Liu	The p-adic local Langlands correspondence (after Colmez), II
	2-3: Liang Xiao	Conductors of Galois representations a la Colmez
November 13	1-2: David Roe	The eigencurve near the boundary of weight space for p=2 and p=3 (abstract)
	2-3: Makis Dousmanis	Classifying two-dimensional crystalline representations, I
November 17, 1 PM, room 2-131	Dan Goldston	Approximating primes in tuples with short divisor sums (sequel to Nov. 16 colloquium)
November 20	1-2: Ruochuan Liu	The p-adic local Langlands correspondence (after Colmez), III
	2-3: Makis Doumanis	Classifying two-dimensional crystalline representations, II
November 27	1-2: Chris Davis	Unitary groups for number theorists
	2-3: Eric Rosen	The Manin-Mumford theorem (after Hrushovski, Scanlon)
December 4	1-2: David Harvey	p-adic heights for elliptic curves: computational aspects, I
	2-3: Jeehoon Park	p-adic family of half-integral weight modular forms via overconvergent Shintani Lifting (part 1; abstract)
December 11	1-2: David Harvey	p-adic heights for elliptic curves: computational aspects, II
	2-3: Jeehoon Park	p-adic family of half-integral weight modular forms via overconvergent Shintani Lifting (part 2; abstract)

Archives

I have archived the home pages from the spring 2004, fall 2004, spring 2005, fall 2005, and spring 2006 semesters.

Other local seminars

• The Baby Algebraic Geometry Seminar (BAGS) is a graduate seminar in algebraic geometry; it is distinguished from STAGE by being more focused on "classical" algebraic geometry and less on arithmetic. BAGS, like STAGE, enjoys strong crossover attendance from Harvard. Indeed, lately it has been scheduled right after the joint Harvard/MIT algebraic geometry seminar, with its location correspondingly rotating between Harvard and MIT.

• The Boston University algebra seminar is in fact a (research-level) number theory seminar by another name. (The easiest way to the BU math department is probably to walk. Allow 25-30 minutes.)

• BU also has had a student seminar in number theory and algebraic geometry; I expect this will happen again in future.

• The Harvard number theory seminar does not have a separate home page; you can see upcoming talks listed on the math department seminar listing. (Take the red line from Kendall, in which case allow 20 minutes. Or walk up Mass. Ave., in which case allow 35 minutes.)

• At any given moment, there are typically several informal graduate seminars in existence at Harvard, but they're so informal as to ordinarily not have web pages.

Miscellanea

Check out the web page for the McGill seminar on cohomology theories from the 2003-2004 academic year. They have some notes posted which may be of interest.

I'm collecting a list of references for topics that come up in the seminar (see also the McGill page), and a list of potential topics. (The latter is not to be confused with "topics not yet scheduled", which are the ones I am actively looking to include.) Beware that these have not yet been updated from last semester, but they're still useful.

Some information about the seminar (some of which is now dated) is contained in the introductory email that I sent out to the mailing list on December 23, 2003, and the followup email that I sent on January 6, 2004.

This page is maintained by Kiran Kedlaya; it was shamelessly copied from Jason Starr's page, which in turn was shamelessly copied from Ravi Vakil's page, which in turn was shamelessly copied from Pasha Belorousski's page at the University of Michigan. For more sites with a similar pedigree, see Michael Thaddeus's list or Jim Bryan's list.