Colloquio De Giorgi 2024-2025

Contribution List

4. Degree Growth

Prof. Serge Cantat (Université de Rennes)

Abstract : Consider a polynomial transformation f of a vector space V and iterate f; that is, compose f with itself, and then with f again, etc. Doing so, one gets a sequence of polynomial transformations f^n. Computing the degree of the formulas defining f^n, one obtains a sequence of integers deg(f^n). The problem I will discuss is : what type of sequences do we obtain in this way?
For...

3. Einstein Manifolds

Prof. Christoph Böhm (Universität Münster)

Abstract: In this survey talk on Riemannian Einstein manifolds we will focus on Einstein metrics with generic holonomy (and mention Kähler Einstein metrics and Sasaki Einstein metrics only briefly). We will also show how symmetry assumptions can be used to obtain even stronger results.

No previous knowledge will be assumed.