In their seminal work, Haskell, Hrushovski and Macpherson gave a classification of imaginaries (i.e. quotient objects in the definable category) in an algebraically closed valued field K by the so-called geometric sorts, namely the valued field sort…
Eventi
Free boundary problems in the spatial segregation of competing systems – Nicola Soave (Politecnico di Milano)
In this talk we present some results concerning the spatial segregation in systems with strong competition. In particular, we focus on two different (but strongly related) issues: long-range segregation models and systems characterized by asymmetric…
Spazio di Teichmüller: tra superfici di traslazione e geometria iperbolica – Andrea Monti (Università di Bonn)
Lo spazio di Teichmüller è l’oggetto che classifica le strutture iperboliche di una superficie. La teoria dello spazio di Teichmüller si sviluppa quindi principalmente nell’ambito della geometria iperbolica, ma il suo studio ha forti collegamenti…
Eigenvalue optimization via low-rank ODEs – Nicola Guglielmi (GSSI)
Stability and robustness analysis of linear continuous and discrete dynamical systems is a vast and active interdisciplinary research area. Although the word stability is used in many different contexts, in this talk it is meant to indicate the…
Verma modules for the Lie superalgebra E(5,10) – Nicoletta Cantarini (Università degli Studi di Bologna, Italy)
In this talk, we will describe the construction of the so-called finite Verma modules for $\mathbb{Z}$-graded Lie superalgebras and study the finite Verma modules over the exceptional linearly compact Lie superalgebra $E(5,10)$. This is done through…
Distributional fractional Sobolev and BV spaces – Giovanni Comi (Università di Pisa)
Differently from their integer versions, the fractional Sobolev spaces $W^{\alpha,p}(\mathbb{R}^n)$ do not seem to have a clear distributional nature. By exploiting suitable notions of fractional gradient and divergence already existing in the…
Quadratic invariants of moduli of elliptic curves – Andrea Di Lorenzo (Humboldt University)
The Chow ring of moduli of curves is an important invariant which is the subject of extensive investigations and conjectures, since Mumford first introduced the topic in his pioneering work. Chow-Witt groups are a recent refinement of the usual Chow…
Towards a Dubrovin conjecture for Frobenius manifolds – John Alexander Cruz Morales (Universidad Nacional de Colombia & Max Planck Institute, Bonn)
In this talk we will report on ongoing work aiming to establish a Dubrovin conjecture for general Frobenius manifolds. The Dubrovin conjecture was formulated in 1998 (with a very precise statement in 2018) as a relation between the Frobenius…