PhD Defense by Luigi Pagano
Title: The motivic zeta functions of Hilbert schemes of points on surfaces
"In this thesis we deal witht the motivic zeta function attached to Calabi-Yau varieties defined over a field K endowed with an ultrametric absolute value. We discuss a formula that links the zeta function of a surface with trivial canonical bundles with the zeta functions of the Hilbert schemes of points on said surfaces. We will finally discuss the monodromy conjecture that relates those poles with the action of the absolute Galois group of K on the (étale) cohomology of the variety."
link to Zoom: https://ucph-ku.zoom.us/j/66907471759?pwd=ekxaVzZrWnB1VHUrSndFNFBlVitCZz09
Advisors:
Lars Halvard Halle
Dipartimento di Matematica - Universita di Bologna
Piazza di Porta San Donato 5, Bologna, Italy
Fabien Mehdi Pazuki
Institut for Matematiske Fag (IMF) - Københavns Universitet (KU)
Universitetsparken 5, 2100 København , Denmark
Assessment committe:
Dustin Clausen (Chair)
Department of Mathematical Sciences - University of Copenhagen
Johannes Nicaise
Department of Mathematics - Imperial College London
Sofia Tirabassi
Department of Mathematics - Stockholm University