Guest seminar winter 2017/18
Guest seminar "Arithmetic Geometry"
Time: Thursdays, 2pm4pm
Place: SR 032 Arnimallee 6
Talks:
Date  Speaker(s) 

October 12 
Richard Griffon Title: A BrauerSiegel theorem for Fermat surfaces The classical BrauerSiegel theorem gives asymptotic upper and lower bounds on the product of the classnumber 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 NéronSeveri 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) Minicourse nonabelian Hodge theory 
October 26 
Markus Röser (Hannover) Minicourse nonabelian Hodge theory 
November 2 (1/2)  Yves André (Paris) Title: Perfectoid spaces and the homological conjectures 
November 2 (2/2)  Oliver Braunling (Freiburg) Title: Ktheory 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.

November 16 (Special Time: 10:30 am sharp, SR140/A7) 
Gereon Quick (Norwegian University of Science and Technology) Title: Examples of nonalgebraic classes in the BrownPeterson tower 
November 23 
Michael Gröchenig A short talk offseminar. 