|
10:00 to 11:00 |
Florian Pop (University of Pennsylvania, USA) |
Ihara/Oda-Matsumoto Question/Conjecture & its relation to GT (Online) One of the main themes of Grothendieck’s "Esquisse" is about giving a combinatorial/topological description of absolute Galois groups. The first major developments concerning this were the “children’s drawings” and the definition/introduction/study of the Grothendieck-Teichmueller group (GT), followed by the Ihara question, respectively the Oda-Matsumoto conjecture
(I/OM). I plan to explain how I/OM relates to GT (the latter object being thoroughly discussed at this workshop) and how this fits into the bigger picture about the initial question above. Finally, I plan to present a recent result (collaboration with Adam Topaz) concerning a line/hyperplane variant of I/OM and/or GT which is both (i) closer in nature to GT than I/OM is; (ii) giving a topological description of absolute Galois, e.g. that of Q.
|
|
|
|
11:30 to 12:30 |
Sujatha Ramdorai (University of British Columbia, Canada) |
Conjectures in Iwasawa Theory The main conjectures play a central role in Iwasawa theory and relate an arithmetic and analytic invariant associated to certain modules that arise naturally in the study of arithmetic of elliptic curves and Galois representations, in general. We shall give an overview of the different main conjectures in this talk.
|
|
|
|
15:00 to 16:00 |
Benjamin Enriquez (IRMA, University of Strasbourg, France.) |
Double shuffle relations between MZVs We review the family of double shuffle relations between multiple zeta values (MZVs; Ihara-Kaneko-Zagier, Racinet, Ecalle), the construction of the scheme attached to this family of relations, and Racinet's theorem according to which it is a torsor under the action of a certain pro-unipotent group. Time permitting, we will discuss the intepretation (obtained jointly with Furusho) of this group and scheme in terms of stabilizers.
|
|
|
|
16:30 to 17:30 |
Leila Schneps (CNRS and IMJ-PRG, Paris, France) |
The Grothendieck-Teichmüller Lie Algebra Injects Into The Double Shuffle Lie Algebra |
|
|
