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."

Thesis 

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