Supported by

`Geometric structures and combinatorial structures of 3-manifolds'

Grant Number 22340013 (Makoto Sakuma)

Grant-in-Aid for Scientific Research (B)

`Reseach on algebraic cycles using cohomology'

Grant Number 23340003 (Kanetomo Sato)

**Date:** 12-16, November, 2012

**Place:** Graduate School of Mathematical Sciences, The University of Tokyo.
(Access)

**Speakers:** Keisuke Arai, Tilman Bauer, David Gepner, Shin Hattori, Naoki Imai, Isamu Iwanari, Mariko Ohara, Yoshiyasu Ozeki, Yuki Kato, Ryo Kato, Sho Saito, Yuji Shimizu, Takahiro Tsushima, Takeshi Torii, Kentaro Nakamura, Norihiko Minami, Hirofumi Nakai, Nobuaki Yagita, Seidai Yasuda

**Contents:**

1. Prehistorical back grounds and vista of TMF

2. Foundations and relationship between formal groups and the cobordism theory saw through by Quillen

3. Moduli stacks of elliptic curves and modular forms

4. Local moduli of p-divisible groups, formal groups

5. Construction of TMF after Goerss-Hopkins-Miller, Behrens and Lurie

**Program:**

12, November

09:30 - 10:30 Norihiko Minami, Long and winding road to tmf

10:45 - 11:45 Yoshiyasu Ozeki, Basics on elliptic curves

14:00 - 15:00 Sho Saito, Generalized cohomology and spectra

15:15 - 16:15 Mariko Ohara, Complex oriented cohomology and formal group law

16:30 - 17:30 Masao Aoki, Algebraic stacks (slides)

13, November

09:30 - 10:30 Tilman Bauer, The construction of the descent spectral sequence

10:45 - 11:45 Shin Hattori, Formal group laws I

14:00 - 15:00 Nobuaki Yagita, Complex K-theory and complex cobordism

15:15 - 16:15 Yuki Kato, Quillen's theorem, moduli stack of formal groups and Adams-Novikov spectral sequence

16:30 - 17:30 Ryo Kato, Brown-Peterson, Morava E, K-theories

14, November

09:30 - 10:30 David Gepner, Higher stacks in derived algebraic geometry

10:45 - 11:45 Keisuke Arai, Moduli spaces of elliptic curves (note)

12:00 - 13:00 Takahiro Tsushima, Introduction to classical modular forms

15, November

09:30 - 10:30 Yuji Shimizu, D-modules in derived algebraic geometry

10:45 - 11:45 Tilman Bauer, The E2-term of the descent spectral sequence (slides)

14:00 - 15:00 Hirofumi Nakai, Landweber exact functor theorem

15:15 - 16:15 Kentaro Nakamura, Formal group laws II

16:30 - 17:30 Takeshi Torii, On K(1)-local topological modular forms

16, November

09:30 - 10:30 Naoki Imai, Local moduli of p-divisible groups

10:45 - 11:45 Seidai Yasuda, Shimura varieties and automorphic forms

14:00 - 15:00 Tilman Bauer, Differentials in the descent spectral sequence (slides)

15:15 - 16:15 David Gepner, Derived elliptic curves, orientations, and topological modular forms

16:30 - 17:30 Free discussion

**Organizers:**
Isamu Iwanari, Toshiro Hiranouchi (hira at hiroshima-u.ac.jp) , Satoshi Mochizuki, Hirofumi Nakai, Seidai Yasuda

Last update: 26 Nov., 2012