This semester, the seminar Interactions between Symplectic Geometry, Combinatorics, and Number Theory will discuss the foundations of Ehrhart theory and its connections to Number Theory, in particular Dedekind sums.
Graduate students, postdocs and professors interested in attending will be encouraged to give explanatory talks that are suitable to an audience with diverse background.
From time to time we will also invite external speakers to give more advanced/research talks on topics related to those covered in this seminar.
| 08.05. | Milena Pabiniak | Restricted partition functions (Sections 1.2 and 1.3 of [BR]) | ||
| 15.05. | Frederik von Heymann | Restricted partition functions II (Sections 1.5 and (partly) 7.2 and 8.2 of [BR]) | ||
| 22.05. | Michael H. Mertens | (a) Dedekind sums in Number Theory ([R]) | ||
| (b) Counting lattice points in special polytopes (Sections 2.2-2.4 of [BR]) | ||||
| 29.05. | Milena Pabiniak | Euler's generating function for rational polytopes (Section 2.8 of [BR]) | ||
| 05.06. | Pentecost (no seminar) | |||
| 12.06. | Valentin Rappel | Ehrhart's theorem (Sections 3.2 and 3.3 of [BR]) | ||
| 19.06. | No seminar | |||
| 26.06. | Lara Bossinger | Background on toric varieties | ||
| 03.07. | Milena Pabiniak | The Todd class of simplicial toric varieties | ||
| 10.07. | Isabelle Charton | Integral points in polytopes and sections of line bundles | ||
| 17.07. | TBD | |||
| 24.07. | TBD |