Progress exam 2019, 15 May 2019, SISSA:
We introduce interpretation of stable vector bundles on families of curves as sections of families of moduli spaces of vector bundles. We give some examples. Also we give the main idea how to count the curvature tensor of vector bundle on a C1*C2 using connection induced from flat connections from both directions.
2.Global Torelli Theorem for K3 surfaces, July 2020, SISSA ( based on the Lectures on K3 surfaces by D.Huybrechts)
3.Qualifying exam 2020, May 2020, SISSA:
We recall general theory about curves on the surfaces of general type due to F. Bogomolov. After that we propose a similar formula for a surfaces with symmetric tensors.