Lunedì 15 Dicembre 2025, dalle ore 14:00 in Aula U9-09 (Edificio U9 - Viale dell'Innovazione 10, Milano), Lorenzo Sillari (Università degli Studi di Parma) e Kirill Zaynullin (Università di Ottawa) terranno i seguenti interventi
Relatore: Lorenzo Sillari
Titolo: Topological and geometric aspects of almost complex 4-manifolds in the spirit of Enriques-Kodaira classification
Abstract: In this talk I am going to discuss the possibility of extending parts of Enriques-Kodaira classification of compact complex surfaces to compact almost complex 4-manifolds. I will start by giving a broad perspective on the standard classification and on the main invariants used in it: the Kodaira dimension and the plurigenera. I will later move on and discuss the difficulties of working with non-integrable structures. In this case, one has to combine in a clever way techniques from symplectic topology and differential geometry to prove interesting results. We will conclude by speculating on what could be a possible shape of the classification, especially in relation with some recent conjecture by Chen and Zhang.
Relatore: Kirill Zaynullin
Titolo: Cohomology of a linear algebraic group: chasing the Hopf structure
Abstract: In the talk we show how categorical methods (duoidal categories of bimodules) can be successfully applied to study geometric objects (algebraic/Lie groups). More precisely, we explain how to lift the classical Hopf structure on an oriented cohomology of a linear algebraic group to the bi-Hopf structure on the associated equivariant oriented cohomology of a flag variety. This is an overview of recent joint projects with Martina Lanini, Rui Xiong and Changlong Zhong.
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