ON-LINE: Number Theory Seminar w. Luigi Pagano

Speaker: Luigi Pagano (KU)

Title: On the Motivic Zeta Function and the Monodromy conjecture for Hyperkähler varieties

Abstract: Starting with the work of Hasse and Weil, several geometric versions of the Riemann Zeta function have been constructed so far. All of them come with their version of the 'Riemann Hypothesis'; in fact it seems that most of the information that these invariants carry is grasped by the set of zeros and/or poles when considered as meromorphic functions. In this talk we shall focus on the Motivic Zeta function, defined by Denef and Loeser in a paper published in 1998, and we will discuss the Monodromy conjecture: an hypothetical relation between the poles of the Motivic zeta function attached to a degeneration of a Calabi-Yau variety and the eigenvalues of the monodromy operator acting on the cohomology of such degeneration.

Organisational information

Event: This seminar will take place online, as a Zoom meeting. Apart from the speaker, there will be a designated "host" of the event, whose job will be to moderate access, to collect the questions (that can be asked in the Zoom chat) and so on.

Participation: If you are not a member of the Algebra and Number Theory group of the University of Copenhagen, please send an email to the host. You will be added to the mailing list for this virtual seminar. Everyone in the mailing list will receive an email with the link to join the Zoom meeting approximately one hour before the starting time of the talk.