Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Workshop [1]

Organiser(s):

V. Golyshev
Date:

Sat, 13/09/2014 (All day) - Wed, 17/09/2014 (All day) The goal is to report on the progress made since the first meeting in 2010 on a variety of subjects, including:

- The arithmetic of mirror families and quantum motives.
- Automorphicity of the classical Calabi-Yau motives.
- Mirror objects in characteristic p and respective automorphic representations.
- Extremal Laurent polynomials and their analogieswith modular families over rational base.
- Congruence properties of Galois representations in mirror families andrelation to Fano topologies.
- Motivic fibrations over G_m and generalizations of Gross-Koblitz.
- The crystalline approach to Galois representations of the field of rational functions in finite characteristic.
- Frobenius manifolds, almost Frobenius manifolds and F-manifolds Isomonodromic deformations.
- Monodromies of (almost) Frobenius manifolds.
- The geometricity conjecture.
- Dubrovin's conjecture
- gamma conjecture I, gamma conjecture II.
- Linearizing Gromov--Witten calculus.
- Tannakian formalism and
- Gromov-Witten.
- Quantum motives.
- Affine Grassmannians and quantum corrections to geometric Satake.

**Speakers/participants:**

- T. Coates
- A. Corti
- B. Dubrovin
- N. Dummigan
- V. Gritsenko
- H. Iritani
- A. Kasprzyk
- A. Kresch

- E. Mann
- A. Mellit
- F. Rodriguez-Villegas
- J. Stienstra
- A. Strangeway
- P. Vanhove
- D. van Straten
- M. Watkins
- R. Weissauer
- D. Zagier

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/164

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/5368/program?page=last

[4] http://www.mpim-bonn.mpg.de/node/5368/abstracts