Combinatorial Anabelian Geometry and Related Topics,
RIMS workshop, July 5 - July 9, 2021


   

 

Organisers: Yuichiro Hoshi (RIMS), Shinichi Mochizuki (RIMS), Ivan Fesenko (Univ. Nottingham), Arata Minamide (RIMS), Shota Tsujimura (RIMS), Benjamin Collas (RIMS/Univ. Lille)

This workshop is one of four workshops of special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory".

Combinatorial anabelian geometry concerns the reconstruction of scheme- or ring-theoretic objects from more primitive combinatorial constituent data. In this sense, it is closely philosophically related to inter-universal Teichmüller theory.

The purpose of the present workshop is to expose fundamental, introductory aspects of combinatorial anabelian geometry, as well as more recent developments related to the Grothendieck-Teichmüller group and the absolute Galois groups of number fields and mixed-characteristic local fields.

The workshop will also treat results concerning the "resolution of nonsingularities" of hyperbolic curves over mixed-characteristic local fields, such results are closely related to combinatorial anabelian geometry over mixed-characteristic local fields.

For a one page list of some recent theorems in combinatorial anabelian geometry see this file


Invited speakers:

Kazumi Higashiyama (RIMS, Kyoto Univ., Japan),
Yuichiro Hoshi (RIMS, Kyoto Univ., Japan),
Yu Iijima (Hiroshima University),
Emmanuel Lepage (IMJ, Paris, France),
Arata Minamide (RIMS, Kyoto Univ., Japan),
Shinichi Mochizuki (RIMS, Kyoto Univ., Japan),
Koichiro Sawada (RIMS, Kyoto Univ., Japan),
Shota Tsujimura (RIMS, Kyoto Univ., Japan),
Go Yamashita (RIMS, Kyoto Univ., Japan),
Yu Yang (RIMS, Kyoto Univ., Japan)

Confirmed participants include:

Magnus Carlson (Hebrew Univ., Israel),
Mateo Carmona (Antioquia, Colombia),
Benjamin Collas (Univ. Lille France/RIMS, Kyoto Univ., Japan),
David Corwin (Univ. California Berkeley, USA),
Weronika Czerniawska (Univ. Geneve, Switzerland),
Hansheng Diao (Tsinghua Univ.),
Paolo Dolce (Univ. Udine, Italy),
Taylor Dupuy (Univ. Vermont, USA),
Lidor Eldabbah (Tel Aviv Univ. Israel),
Benjamin Enriquez (Univ. Strasbourg, France),
Ivan Fesenko (Univ. Nottingham, UK),
Machiel van Frankenhuijsen (Utah Valley Univ., USA),
Jiahui Gao (Princeton Univ., USA),
Sylvain Gaulhiac (Sorbonne Univ., France),
Tim Holzschuh (Heidelberg Univ., Germany),
Sukmoon Huh (Sungkyunkwan Univ., South Korea),
Su-ion Ih (Univ. Colorado, USA),
Ilhan Ikeda (Bogazici Univ., Turkey),
Caleb Ji (Columbia Univ., USA),
Kirti Joshi (Univ. Arizona, USA),
Katharina Müller (Univ. Göttingen, Germany),
Devarshi Mukherjee (Univ. Göttingen, Germany),
Shusuke Otabe (IPMU, Japan),
Keyao Peng (Univ. Grenoble, France),
Wojciech Porowski (Univ. Nottingham, UK),
Erol Serbest (Yeditepe Univ., Turkey),
Atsushi Shiho (Univ. Tokyo, Japan),
Densuke Shiraishi (Univ. Osaka, Japan),
Reiya Tachihara (RIMS, Kyoto Univ., Japan),
Yuichiro Taguchi (Tokyo Inst. Technology, Japan),
Fucheng Tan (RIMS, Japan),
Xiao Wang (Sun Yat-sen Univ., China)









RIMS Workshop supported by RIMS and
Symmetries and Correspondences




Venue: Kyoto University,
RIMS (main building),
Room 420.
By Zoom for participants outside Japan

To register to participate, please send an email with your name, position and affiliation to anabelian@cheerful.com

The special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory" will also include the following three workshops:

Foundations and perspectives of anabelian geometry,

Invitation to inter-universal Teichmüller theory,

Inter-universal Teichmüller theory (IUT) summit 2021.