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fables [2021/10/24 16:35]
kalinin0
fables [2021/12/18 22:44] (Version actuelle)
kalinin0
Ligne 3: Ligne 3:
  
 The normal starting time of this seminar is 16.30 on Monday. The normal starting time of this seminar is 16.30 on Monday.
 +----
 +  Monday, Dec, 20th, 16h15 - 18h15
 +  
 +**On the asymptotics of Arakelov invariants**
  
 +We will discuss the asymptotics of invariants of Riemann
 +surfaces motivated by Arakelov theory. These invariants play a
 +fundamental role in bounds for the number of geometric torsion points on
 +curves. We will show that their asymptotic behaviour in families of
 +degenerating Riemann surfaces is controlled by their tropical counterparts.
 +----
 +  Fri 17.12.2021, 13h30, room 6-13
 +  
 +  Andras Szenes
 +
 +**Diagonal bases and wall-crossings in moduli spaces of vector bundle**
 +
 +The idea  of the calculation of the Hilbert function of the moduli spaces of vector bundles on Riemann surfaces goes back to the works of Michael Thaddeus in the early 90’s.
 +I describe joint work with Olga Trapeznikova where this plan is carried out in detail, which uses only basic tools of Geometric Invariant Theory and a combinatorial/analytic device introduced by myself: the diagonal basis of hyperplane arrangements.
 ---- ----
   Nov 1, 16h15. Room 06-13   Nov 1, 16h15. Room 06-13
Ligne 9: Ligne 27:
   Vasily Golyshev (Moscow, Bures-sur-Yvette)    Vasily Golyshev (Moscow, Bures-sur-Yvette) 
      
-**Modularity proofs via fibered motives** 
  
-This is a report on joint work with Don Zagier, and joint work +**Markov numbers in number theory, topology, algebraic geometry, and differential equations** 
-in progress with Kilian Bönisch and Albrecht Klemm.+ 
 +I will explain how the Markov numbers arise in different mathematical 
 +disciplines, and sketch the links. A recent contribution will be discussed, too.
  
-The rigid Calabi-Yau threefolds that appear as conifold fibers 
-in the hypergeometric Landau-Ginzburg models of Fano 
-complete intersection fourfolds in [weighted] projective spaces 
-are expected to be modular, but what is lacking is the 
-construction of actual correspondences with Kuga-Sato 
-threefolds. I will explain how the technique of fibered motives 
-can be used to provide `opportunistic' modularity 
-proofs for such fibers. 
 ---- ----
  
fables.1635086125.txt.gz · Dernière modification: 2021/10/24 16:35 de kalinin0