RIMS/Symmetries and Correspondences workshop:
Inter-universal Teichmüller Theory Summit 2016
Organizers: Ivan Fesenko, Shinichi Mochizuki, Yuichiro Taguchi
Dates: July 18 – 27, 2016
Place: RIMS, Kyoto University, Room 420 (July 18 – 22), Room 111 (July 25 – 27)
Abstracts of talks are available from this page
For papers and materials see below
July 18, Monday
09:30 – 09:40 Opening address
Part I Preparatory talks
09:45 – 10:45 Koichiro Sawada
Uchida’s theorem for one-dimensional function fields over finite fields
11:00 – 12:00 Kazumi Higashiyama
Mono-anabelian geometry I: Reconstruction of function fields via Belyi cuspidalization
12:15 – 13:15 Arata Minamide
Mono-anabelian geometry II: Mono-anabelian geometry over mixed characteristic local fields
14:45 – 15:45 Ippei Nagamachi
Log-shell, log-volume, and log-link I
16:00 – 17:00 Ippei Nagamachi
Log-shell, log-volume, and log-link II
17:15 – 18:15 Weronika Czerniawska
July 19, Tuesday
09:30 – 10:30 Weronika Czerniawska
10:45 – 11:45 Arata Minamide
Étale theta functions and mono-theta environments I
12:00 – 13:00 Arata Minamide
Étale theta functions and mono-theta environments II
14:30 – 15:30 Seidai Yasuda
Étale theta functions, mono-theta environments, and [IUTch-I], §1-§3, I
15:45 – 16:45 Seidai Yasuda
Étale theta functions, mono-theta environments, and [IUTch-I], §1-§3, II
Part II Overall survey
17:00 – 18:00 Shinichi Mochizuki
July 20, Wednesday
09:30 – 10:30 Shinichi Mochizuki
10:45 – 11:45 Shinichi Mochizuki
12:00 – 13:00 Shinichi Mochizuki
14:30 – 15:30 Shinichi Mochizuki
15:45 – 16:45 Shinichi Mochizuki
Part III [IUTch-I-II]
17:00 – 18:00 Seidai Yasuda
Étale theta functions, mono-theta environments, and [IUTch-I], §1-§3, III
July 21, Thursday
Part II Overall survey (continued)
09:30 – 10:30 Shinichi Mochizuki
10:45 – 11:45 Shinichi Mochizuki
Part III [IUTch-I-II] (continued)
12:00 – 13:00 Fucheng Tan
IUT-I: Hodge theaters and label classes of cusps 1
14:30 – 15:30 Fucheng Tan
IUT-I: Hodge theaters and label classes of cusps 2
15:45 – 16:45 Taylor Dupuy
Functors to and from mono-theta environments
17:00 – 18:00 Emmanuel Lepage
19:00 – 21:00 Buffet style dinner
July 22, Friday
09:30 – 10:30 Taylor Dupuy
Multiradiality
10:45 – 11:45 Emmanuel Lepage
Part IV [IUTch-III-IV] from the point of view of mono-anabelian transport
12:00 – 13:00 Yuichiro Hoshi
[IUTch-III-IV] from the point of view of mono-anabelian transport I
14:30 – 15:30 Yuichiro Hoshi
[IUTch-III-IV] from the point of view of mono-anabelian transport II
15:45 – 16:45 Yuichiro Hoshi
[IUTch-III-IV] from the point of view of mono-anabelian transport III
17:00 – 18:00 Yuichiro Hoshi
[IUTch-III-IV] from the point of view of mono-anabelian transport IV
July 25, Monday
Part V Related topics
09:30 – 10:30 Yuki Wada
Near miss abc-triples in compactly bounded subsets
10:45 – 11:45 Vesselin Dimitrov
Notes on the epsilon term in the abc conjecture
12:00 – 13:00 Kobi Kremnitzer
Milnor-Wood inequality and bounded cohomology
14:30 – 15:30 Ivan Fesenko
15:45 – 16:45 Boris Zilber
Model theory of anabelian geometry
17:00 – 18:00 Free discussion
July 26, Tuesday
Part VI [IUTchIII-IV] with remarks on the function-theoretic roots of the theory
09:30 – 10:30 Go Yamashita
[IUTchIII-IV] with remarks on the function-theoretic roots of the theory I
10:45 – 11:45 Go Yamashita
[IUTchIII-IV] with remarks on the function-theoretic roots of the theory II
12:00 – 13:00 Go Yamashita
[IUTchIII-IV] with remarks on the function-theoretic roots of the theory III
14:30 – 15:30 Go Yamashita
[IUTchIII-IV] with remarks on the function-theoretic roots of the theory IV
15:45 – 16:45 Free discussion
17:00 – 18:00 Free discussion
July 27, Wednesday
Part VII Overall discussion and impromptu talks
09:30 – 10:10 Adam Topaz
Kummer theory and anabelian geometry over algebraically closed fields
10:25 – 10:45 Dinesh Thakur
Diophantine approximation and deformation hierarchies in finite characteristic
11:00 – 12:00 Paul Vojta
On changes to the Thue-Siegel method
12:15 – 13:00 Free discussion
14:30 – 15:30 Free discussion
15:45 – 16:45 Free discussion
17:00 – 18:00 Free discussion
18:00 – 18:15 Closing remarks
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Papers and materials for the workshop
Surveys of IUT
The mathematics of mutually alien copies: from Gaussian integrals to inter-universal Teichmuller theory, by Shinichi Mochizuki, preprint 2016
Invitation to inter-universal Teichmüller theory (lecture note version), by Shinichi Mochizuki
Introduction to inter-universal Teichmüller theory (in Japanese), by Yuichiro Hoshi, preprint 2015
Materials of the Oxford workshop on IUT
Papers
All the papers below are authored by Shinichi Mochizuki and available, often with comments, from this page
The geometry of anabelioids, Publ. Res. Inst. Math. Sci. 40 (2004), 819–881
Semi-graphs of anabelioids, Publ. Res. Inst. Math. Sci. 42 (2006), 221–322
Arithmetic elliptic curves in general position, Math. J. Okayama Univ. 52 (2010), 1–28
The geometry of frobenioids I: The general theory, Kyushu J. Math. 62(2008), 293–400
The geometry of frobenioids II: Poly-Frobenioids, Kyushu J. Math. 62 (2008), 401–460
Inter-universal Teichmüller theory I: Constructions of Hodge theaters, preprint 2012–2016 - [IUTch-I]
Inter-universal Teichmüller theory II: Hodge-Arakelov-theoretic evaluation, preprint 2012–2016 - [IUTch-II]
Inter-universal Teichmüller theory III: Canonical splittings of the log-theta-lattice, preprint 2012–2016 - [IUTch-III]
Inter-universal Teichmüller theory IV: Log-volume computations and set-theoretic foundations, preprint 2012–2016 - [IUTch-IV]
Noncritical Belyi maps, Math. J. Okayama Univ. 46 (2004), 105–113
Topics in absolute anabelian geometry I: Generalities, J. Math. Sci. Univ. Tokyo 19 (2012), 139–242
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