Week 3

Mon 17th--Wed 19th Sep
"Research workshop -- Toric degenerations, tropical geometry and mirror symmetry"

The themes will include

1. Understanding mirror symmetry via affine structures on manifolds

2. Tropical geometry and its relations to enumerative geometry

3. Mirror symmetry for Fano manifolds

4. Homological mirror symmetry

5. Other topics: Open Gromov-Witten invariants, cluster varieties, ...

The workshop aims to explain unifying themes underyling recent ideas
that are becoming prevalent in the study of mirror symmetry, based
around the idea that mirror pairs are controlled by an underlying real
affine manifold. This has shown up in various guises: in the work of
Gross/Siebert and Kontsevich/Soibelman exploring the B-side of mirror
symmetry; in the work of Mikhalkin, Nishinou/Siebert, Gathmann/Markwig
and others on enumerative aspects of tropical geometry, in work of
Abouzaid on homological mirror symmetry for toric varieties, and so on.
The intention is to explain some of these ideas in an elementary
fashion, accessible to graduate students, as well as to have some more
advanced research talks.

Confirmed participants
Tom Coates, Alessio Corti, Mark Gross, Ilia Itenberg, Ludmil Katsarkov,
Melissa Liu, Diane Maclagan, Paul Seidel, Bernd Siebert, (Vladimir Fock?)

(Note that Mark Gross will give colloquial lecture the previous
Fri 14th Sep.)

Program First draft

Mon 17th Sep 11:00 Gross, Toric degenerations, tropical geometry and mirror symmetry 1
Mon 17th Sep 2:00 Ilia Itenberg, Tropical geometry and enumeration of real rational curves
Mon 17th Sep 3:30 TBA
Mon 17th Sep 5:00 Alessio Corti, The quantum cohomology of weak Fano toric stacks
  6:15 Reception in common room

Tue 18th Sep 9:30 Melissa Liu, Nekrasov's conjecture for toric surfaces
Tue 18th Sep 11:00 Gross, Toric degenerations, tropical geometry and mirror symmetry 2
Tue 18th Sep 2:00 Katzarkov, Mirror symmetry and criteria for irrationality 1
Tue 18th Sep 3:30 TBA
Tue 18th Sep 5:00 Paul Seidel

Wed 19th Sep 9:30 Tom Coates
Wed 19th Sep 11:00 Siebert, Toric degenerations, tropical geometry and mirror symmetry 3
Wed 19th Sep 2:00 Katzarkov, Mirror symmetry and criteria for irrationality 2
Wed 19th Sep 4:00 Gross, Toric degenerations, tropical geometry and mirror symmetry 4
  6:15 Party in common room

please register online at https://www.warwick.ac.uk/mrc/events.php