Guest seminar winter 2017/18
Guest seminar "Arithmetic Geometry"
Time: Thursdays, 2pm-4pm
Place: SR 032 Arnimallee 6
Talks:
Date | Speaker(s) |
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October 12 |
Richard Griffon Title: 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. |
October 19 |
Markus Röser (Hannover) Mini-course non-abelian Hodge theory |
October 26 |
Markus Röser (Hannover) Mini-course non-abelian Hodge theory |
November 2 (1/2) | Yves André (Paris) Title: Perfectoid spaces and the homological conjectures |
November 2 (2/2) | Oliver Braunling (Freiburg) Title: K-theory of locally compact (instead of finitely generated) modules We discuss a generalization of a March 2017 theorem of Dustin Clausen, |
November 9 |
Jungkai CHEN (National Taiwan University) Title: Pluricanonical maps of higher dimensional varieties.
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November 16 (Special Time: 10:30 am sharp, SR140/A7) |
Gereon Quick (Norwegian University of Science and Technology) Title: Examples of non-algebraic classes in the Brown-Peterson tower |
November 23 |
Michael Gröchenig A short talk off-seminar. |
November 30. (Time: 15:00 Sharp) |
Shane Kelly Title: Introduction to (stable) motivic homotopy theory. |
11. January |
Marco d'Addezio Title: Lisse sheaves and F-isocrystals. |
18. January |
Michel van Garrel (University of Hamburg) Title: 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 Title: p-adic integration for Hitchin systems |