PRESENTATION CONFERENCE for PROFINITE ARITHMETIC GEOMETRY

This is the 2nd website for three planned conferences in Profinite Geometry and Related Moduli spaces. The Conference site is the R(esearch)I(nstitute) for M(ath) and S(cience) (RIMS) in Kyoto, Japan, October 23--31. There will be a weekend excursion between our two conference parts. Brackets [23-27: RIMS Workshop] [RIMS joint research session] indicate those two parts below. These research presentations are part of an international "Arithmetic algebraic geometry year" run by Kazuya Kato, Akio Tamagawa and Shin Mochizuki.

    October 2006
 S  M Tu  W Th  F  S
 1  2  3  4  5  6  7
 8  9 10 11 12 13 14
15 16 17 18 19 20 21
22[23 24 25 26 27] 28
29 [30 31]

The first conference in this series, at Red Lodge, Montana presented our goal of melding three research groups by integrating moduli spaces, cohomological algebra and abelian varieties. Prior to the conference I suggested: Our conference series will be a success if most attendees come away with the value of joining Profinite Group Theory, Moduli Spaces and Arithmetic Geometry, especially the interpretation of geometric properties using homological algebra. See Part VI.A in the Table of Contents for why we organizers thought this worked.  

Many talks in these RIMS presentations will feature connections between the following triplet:
 
TABLE OF CONTENTS:

I. ORGANIZERS AND ATTENDEES
        I.A. ORGANIZERS
        I.B. FURTHER ATTENDEES
        I.C. CONFERENCE THEME AND TALK EXPECTATIONS
II. RELATED WEB SITES INCLUDING PROGRAM FOR THE TWO CONFERENCE PARTS
       II.A. PROGRAM FOR THE October 23-31 RIMS WORKSHOP

       II.B. OVERALL RIMS ARITHMETIC GEOMETRY WORKSHOP
III. CONFERENCE SUPPORT
IV. TALK EQUIPMENT
V. ACCOMODATIONS AND TRANSPORTATION
        V.A. ROOMS
        V.B. FROM AIRPORT TO HOTEL
VI. PAST AND FUTURE CONFERENCES
        VI.A. INTRODUCTORY CONFERENCE -- RED LODGE
        VI.B. FINAL PRESENTATION CONFERENCE -- BANFF?

I. ORGANIZERS AND ATTENDEES
        A participant has agreed to speak if a talk title is present; blue-lit if a talk abstract is available. We expect most to be lit-up by September 18.

        I.A. ORGANIZERS

Pierre Dèbes pde@ccr.jussieu.fr    l-adic aspects of the Modular Tower program
Mike Fried mfri4@aol.com mfried@math.uci.edu How Pure-cycle Nielsen classes Test the Main Modular Tower Conjecture
Jochen Koenigsmann Jochen.Koenigsmann@unibas.ch On birational anabelian geometry over almost arbitrary fields
Hiroaki Nakamura h-naka@math.okayama-u.ac.jp Profinite Grothendieck-Teichmueller parameters and a family of Mordell elliptic curves (joint work with H.Tsunogai)
Ken Ribet ribet@math.berkeley.edu 
       not in residence at this RIMS conference
Akio Tamagawa tamagawa@kurims.kyoto-u.ac.jp The algebraic and anabelian geometry of configuration spaces (joint work with Shinichi Mochizuki)
       coordinator with organizing committee of RIMS International Research Project Arithmetic Algebraic Geometry.

        I.B. FURTHER ATTENDEES

Ram Abhyankar ram@cs.purdue.edu Simultaneous Surface Resolution
Anna Cadoret  anna.cadoret@math.u-bordeaux1.fr Arithmetic properties of Moduli spaces for p-etale G-covers and torsion on abelian varieties
Michael Dettweiler Michael.Dettweiler@iwr.uni-heidelberg.de Motives with Galois group G2
Michel Emsalem  emsalem@math.univ-lille1.fr l-adic points on Modular Towers
Gerhard Frey frey@exp-math.uni-essen.de Curves of genus 2 with elliptic differentials and associated Hurwitz spaces
Hidekazu Furusho furusho@math.nagoya-u.ac.jp Survey of Drinfel'd's work on GT and its associated quantum groups
David Harbater harbater@math.upenn.edu On Function Fields with Free Absolute Galois Groups
Hiroshi Tsunogai tsuno@mm.sophia.ac.jp khasimot@waseda.jp Some recent results on Noether's problem
Yuichiro Hoshi yuichiro@kurims.kyoto-u.ac.jp Cuspidalizations of fundamental groups of configuration spaces
Yasutaka Ihara ihara@mtb.biglobe.ne.jp On Euler-Kronecker invariants of global fields
Kinya Kimura Kinnyakim@aol.com  Modular towers of moduli stacks
Makoto Matsumoto m-mat@math.sci.hiroshima-u.ac.jp Malcev completions of arithmetic mapping class groups
Jan Minác minac@uwo.ca     Galois cohomology, quotients of absolute Galois groups, and a little modular representation theory
Florian Pop pop@math.upenn.edu Meta-abelian anabelian geometry over algebraically closed base fields
Mohamed Saidi m.saidi@exeter.ac.uk A prime to p version of the Grothendieck anabelian conjecture in characteristic p>0 (joint work with Akio Tamagawa)
Darren Semmen dsemmen@gmail.com Duality groups and modular towers
Jakob Stix stix@math.uni-bonn.de Exploration of anabelian varieties in higher dimension
Tamas Szamuely szamuely@renyi.hu Local-global principles for semiabelian varieties
Michael Tsfasman tsfasman@iitp.ru Infinite global fields and their zeta-functions
Thomas Weigel thomas.weigel@unimib.it Class field theory and modular towers
Jared Weinstein jared@Math.Berkeley.EDU Galois representations with prescribed ramification
Stefan Wewers Stefan.Wewers@iwr.uni-heidelberg.de Indigenous bundles, deformation data and Hurwitz curves with bad reduction
Yuri Zarhin zarhin@math.psu.edu Abelian varieties without homotheties

        I.C. CONFERENCE THEME AND TALK EXPECTATIONS

I discuss two topics: URLS for definitions in abstracts; 15 elementary minutes.

Definitions in Abstracts: All talks will have abstracts. We have the following suggestions for conference speakers. If your talk has basic definitions (and other elements) that overlap with those used by other speakers, you can help both the audience and yourself by cooperating explicitly with those other speakers. Definitions help especially because much of the originality of mathematics is there. When an audience is clueless about a talk, it is often they just don't know the talk goals through fundamental definitions. It is traditional for abstracts to have web available papers. Is that an effective way to prepare a conference attendee who might have perused the abstracts? Answer: Rarely!

We suggest that having brief excerpts on fundamental definitions will be much more effective. A peruser can click on that and learn something at the moment. You can put your definitions in your abstract html file, or in a separate html file (below you can submit a definition by typing directly in an HTML file), for which a URL is wrapped around the word-to-be-defined word in the form <a href="./mydefs.html"> word-to-be-defined </a>. We suggest the latter.

15 Elementary Minutes: Still, even with your best of intentions, it very effective for your talk to include 15 elementary minutes dedicated to definitions and concepts that define your topic. You can share those minutes by referring to another speaker with whom you coordinate. For example: Suppose you do talk about, say, p-Poincare duality. Then, between you and Speaker A who also talks on that topic, there should appear the full definition of a group satisfying this property. In your talk you can say Speaker A  told you [the audience] about p-Poincare duality, and then you can say what you intend to emphasize from it, repeating that part of the definition explicitly with some example. This case exemplifies what I'm really after: An important definition that few are likely to know, though much can be made by coordinating with others who use it in their talk.  

I intend to include  URL connections to several definitions that circle the theme: Modular Towers/Regular Inverse Galois Problem/Strong Torsion Conjecture. Ask anytime if you are uncertain exactly what I mean by clicking mfri4@aol.com. I will help you place definitions in your abstract. 

Here is the definition-suggestion area, and here is the present-definitions area on the web site.

II. RELATED WEB SITES INCLUDING PROGRAM FOR THE TWO CONFERENCE PARTS

        II.A. PROGRAM FOR THE October 23-31 RIMS WORKSHOP

        rims2006galois.pdf.
        This will include discussion of the planned followup conference (see VI.B)

        II.B. OVERALL RIMS ARITHMETIC GEOMETRY WORKSHOP

        Hiroaki Nakamura maintains the full RIMS program conference web site at www.math.okayama-u.ac.jp/~h-naka/RIMS2006/. That includes the program in Japanese for Japanese conference attendees. Our summary of conference logistics is for non-Japanese attendees.

III. CONFERENCE SUPPORT

Many senior speakers are supported directly by funds from RIMS. Further support comes from the Institute for Experimental Mathematics, Laboratoire Painleve, Univ. Lille 1, UC Berkeley and DFG.

IV. TALK EQUIPMENT

Room 420 (Oct 23-27):-- 1 big blackboard (consisting of 6 pieces)-- 3 screens-- 2 overhead projectors-- 1 document camera-- 1 liquid crystal projector (for PC, video, DVD)

Room 115 (Oct 30-31):-- 1 blackboard (consisting of 2 pieces)-- 2 screens-- 1 overhead projector-- 1 document camera-- 1 liquid crystal projector (for PC, video, DVD)

Also available:-- portable screens (up to 3)-- portable overhead projectors (up to 3)-- portable liquid crystal projectors (up to 2) Also, if a speaker would like to distribute copies of something to the audience, we could help him or her make copies.

V. ACCOMODATIONS AND TRANSPORTATION

        V.A. ROOMS

The rooms are two-bedded, and the charge is 7500 yen (resp. 10000 yen) per night for a single use (resp. for a double use).  Also, by an agreement between the RIMS and Holiday Inn Kyoto, there are 25 rooms available at the Holiday Inn.

RIMS also offers its services of reserving door-to-door shuttle buses between airports and Kyoto (for overseas participants).
www.hi-kyoto.co.jp/ and www.ichotelsgroup.com/h/d/6c/1/en/hd/kstja?irs=null
These rooms are also two-bedded, and the charge is 7500 yen (resp. 10000 yen) per night for a single use (resp. for a double use).

If you plan to stay at Holiday Inn Kyoto (or to look for another accommodation) or if you need our help to reserve a shuttle bus, please contact Akio Tamagawa.

        V.B. FROM AIRPORT TO HOTEL
 
For the access to the hotel from the Kansai International Airport, see www.kurims.kyoto-u.ac.jp/~kenkyubu/map/e-map.html. We recommend you to use a door-to-door shuttle bus. The rate is: 3,000 yen per person.  (One suitcase per person is free of charge. If you bring another suitcase, it costs you 1,000 yen.) We could help you to reserve this shuttle bus if you like.  

VI. PAST AND FUTURE CONFERENCES

        VI.A. INTRODUCTORY CONFERENCE -- RED LODGE

Red Lodge was by far the most successfully adventurous conference in which I an organizer. The theme of profinite geometry seemed to make sense to many of the speakers. Also, the three organizers of that conference (Pierre Debes, Ken Ribet and I) contributed to the theme now epitomized by the phrase Modular Towers/Regular Inverse Galois Problem/Strong Torsion Conjecture. They did this using survey talks, and by inviting appropriate speakers, including young people, who tried to assimilate the idea. Several non-organizers (aided by particular organizers) also put much energy into having their talks coordinate with parts of the theme.   
 
Near the end of the Red Lodge meeting we started planning for this meeting in RIMS (see Followup Conferences). Ken Ribet took two series of conference participant pictures: morning of the first conference day and many of the students and post-doctorals on the hike-excursion Wednesday, April 5. Stefan Wewers and Hidekazu Furusho also have series: During the conference sessions and the Friday night conference party, and during the Wednesday walk and the conference party. These are available at the conference web site www.math.uci.edu/~mfried/conffiles_rc/redlodge-profgeom.html.

        VI.B. FINAL PRESENTATION CONFERENCE -- BANFF?

Spring of 2008 or around there, we expect to have a final results conference. This will result in a timely publication from the whole conference series. Of course, Banff is spectacular, with its Cambrian rock formations, fine lodgings and conveniently run conference center.