***SPAM*** PhD course “Topics in advanced geometry” at UniTS

[PERRONI FABIO]

Dear everyone,

I would like to advertise the PhD course “Topics in advanced geometry”, by Prof. Daniele Zuddas and myself.
It takes place at the University of Trieste (main campus of Piazzale Europa), on Tuesdays and Thursdays from 5 pm to 7 pm, starting the 20th of February, for 32 hours.
The classrooms are as follows:
On Thursdays in room 5 A, building H 2 Bis (except March 13th, where we will be in room 4B building H2 bis);
On Tuesdays in room 5 A, building H 2 Bis (except February 25th, where we will be in room 5B building H2 bis).

The course consists of an introduction to the theory of fibre bundles and vector bundles, in particular the following topics will be covered:

  *   connections and curvatures;
  *   holomorphic vector bundles;
  *   line bundles and Picard varieties;
  *   obstructions to the existence of linearly independent sections;
  *   Chern classes and their axioms;
  *   Universal bundles.
 Bibliography:

  *   S. Kobayashi. Differential Geometry of Complex Vector Bundles. Princeton University Press (1987).
  *   I. Madsen, J. Tornehave.  From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes<https://www.amazon.com/Calculus-Cohomology-Rham-Characteristic-Classes/dp/0521589568/ref=sr_1_1?qid=1700641178&refinements=p_27%3AIb+Madsen&s=books&sr=1-1>. Cambridge University Press.
  *   C. Birkenhake<https://link.springer.com/book/10.1007/978-3-662-06307-1#author-0-0>, H. Lange<https://link.springer.com/book/10.1007/978-3-662-06307-1#author-0-1>. Complex Abelian Varieties. Springer.
  *   N. Steenrod. The Topology of Fibre Bundles. Princeton Mathematical Series.<https://www.amazon.com/Topology-Bundles-Princeton-Landmarks-Mathematics-ebook/dp/B088D477WZ/ref=sr_1_2?qid=1700640675&refinements=p_27%3ANorman+Steenrod&s=books&sr=1-2>

Everyone interested is welcome to attend.

Best regards,
Fabio Perroni