Gästeseminar Wintersemester 2017/18
Gästeseminar "Arithmetische Geometrie"
Zeit: Donnerstags, 14:15-15:15 Uhr
Ort: SR 032 in Arnimallee 6
Vorträge:
Titel:
Datum | Vortragende(r) |
---|---|
12. October* |
Richard Griffon (Leiden) Titel: A Brauer-Siegel theorem for Fermat surfaces The classical Brauer-Siegel theorem gives asymptotic upper and lower bounds on the product of the class-number times the regulator of units of a number field in terms of its discriminant. In this talk, I will describe an analogous result in a more geometric context. Namely, for a Fermat surface F over a finite field, we consider the product of the order of its Brauer group (which is known to be finite) by the Gram determinant of a basis of its Néron-Severi group for the intersection form, and we describe the growth of that product in terms of the geometric genus of F when the latter grows to infinity. As in the classical setting, the proof of the asymptotic estimate is rather analytic: it relies on obtaining asymptotic bounds on the size of the ``residue’’ of the zeta function of F at its pole at s=1. |
19. Oktober |
Markus Röser (Hannover) Mini-course non-abelian Hodge theory |
26. Oktober |
Markus Röser (Hannover) Mini-course non-abelian Hodge theory |
2. November (1/2) | Yves André (Paris) Titel: Perfectoid spaces and the homological conjectures |
2. November (2/2) |
Oliver Braunling (Freiburg) Titel: K-theory of locally compact (instead of finitely generated) modules We discuss a generalization of a March 2017 theorem of Dustin Clausen, |
9. November |
Jungkai CHEN (National Taiwan University) Titel: Pluricanonical maps of higher dimensional varieties.
|
16. Novemeber (Sonderzeit: 10:30 genaue Zeit, A7/SR140) |
Gereon Quick (Norwegian University of Science and Technology) Titel: Examples of non-algebraic classes in the Brown-Peterson tower |
23. November |
Michael Gröchenig Description: A short talk off-seminar. |
30. November (Sonderzeit: 15:00 genaue Zeit) |
Shane Kelly Titel: Introduction to (stable) motivic homotopy theory. |
11. Januar |
Marco d'Addezio Titel: Lisse sheaves and F-isocrystals. |
18. Januar |
Michel van Garrel (University of Hamburg) Titel: A constructive approach to a conjecture by Voskresenskii Voskresenskii conjectured that stably rational tori are rational. Klyachko proved this assertion for a wide class of tori by general principles. In this joint work with Mathieu Florence, we re-prove Klyachko’s result by providing simple explicit birational isomorphisms. |
25. Jan. |
Giulio Bresciani (Scuola Normale Superiore, Pisa) Title: The dimensional section conjcture. Abstract: Vistoli observed that, if Grothendieck's section conjecture is true, there should be some notion of dimension such that for an hyperbolic curve over a field finitely generated over Q the space of sections has dimension 1. If one could prove this, it would give a dimensional obstruction to the existence of sections. We propose such notion as a modification of essential dimension, and make some steps toward proving that this dimension is 1 for the space of sections of P^1 minus three points. |
1. Feb. |
Michael Gröchenig Titel:p-adic integration for Hitchin systems |
* SR 031 in Arnimallee 7