Arbeitsgemeinschaft "Gorenstein and Reflexive Polytopes"
March 12 - March 16, 2007
at Freie Universität Berlin
Reflexive polytopes were originally defined with theoretical physics
applications in mind. In string theory, reflexive polytopes and the
associated toric varieties play a crucial role in the most
quantitatively predictive form of the mirror symmetry conjecture.
More recently, reflexive polytopes and their close cousins, Gorenstein
polytopes, have been studied as interesting combinatorial
objects. They enjoy a variety of interesting combinatorial properties
which are not well understood.
The Arbeitsgemeinschaft is a one week workshop where we put our heads
together and try to find out more about questions like
- How many vertices can a reflexive polytope have?
- We know that every lattice polytope appears as a face of a
reflexive lattice polytope. Is every normal, smooth, ... polytope the
face of a normal, smooth, ... reflexive polytope?
-
Which Gorenstein polytopes have a unimodal h*
vector?
As kick-off, there will be four informal talks/discussions on Monday,
March 12 in room A3.210.
| 2-2:30 |
Benjamin Nill
Introduction to reflexive polytopes
|
| 2:45-3:15 |
Christian Haase
Reflexive dimension -- results and questions
|
| 3:30-4:00 |
Caffeine and carbohydrates
|
| 4:15-4:45 |
Sam Payne
Ehrhart series and lattice triangulations
|
| 5-5:30 |
Markus Perling
Maximally Cohen-Macaulay modules
|
