Notiziario Scientifico
a cura del Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma
Settimana dal 31-10-2022 al 06-11-2022
Mercoledì 02 novembre 2022
Ore 14:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Algebra e Geometria
Lucas Mason-Brown (University of Oxford)
Some Comments on the Structure of the Unitary Dual
In his 'Orange Book', David Vogan formulates some general expectations about the structure of the unitary dual of a real reductive group. These expectations can be summarized as follows: every irreducible unitary representation can be constructed from some elementary building blocks (called 'unipotent representations') through some unitarity-preserving operations (unitary induction, cohomological induction, and complementary series). Turning this philosophy into a precise mathematical conjecture turns out to be a subtle and difficult problem. In this talk, I will attempt to do so in the case of spherical representations of a complex group. This talk is partially based on joint work with Ivan Losev.
Giovedì 03 novembre 2022
Ore 14:15, Aula M1, Dipartimento di Matematica e Fisica, Università Roma Tre
Seminario di Geometria
Gregory Pearlstein (Università di Pisa)
Rigidity and infinitesimal Torelli theorems for variations of mixed Hodge structures and applications to certain classes of elliptic surfaces
I will discuss joint work with Chris Peters which extends rigidity results of Arakalov, Faltings and Peters to period maps arising from families of complex algebraic varieties which are non-necessarily proper or smooth. Inspired by recent work with P. Gallardo, L. Schaffler, Z. Zhang, I will discuss two classes of elliptic surfaces which can be presented as hypersurfaces in weighted projective spaces which have a unique canonical curve. In each case, we will show that infinitesimal Torelli fails for H^2 of the compact surface, but is restored when one considers the period map for the complement of the canonical curve. We will also show that these period maps are rigid, in the sense that they do not admit any horizontal deformations which keep the source and target fixed.
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it
Giovedì 03 novembre 2022
Ore 14:30, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
P(n)/N(p) : Problemi differenziali nonlineari/Nonlinear differential problems
Azahara de la Torre Pedraza (Sapienza Università di Roma)
Qualitative properties of singular solutions to the fractional Yamabe problem
In this talk we will focus on the qualitative properties of the solutions to the fractional Yamabe problem in the n-dimensional Euclidean space which present an isolated singularity. In particular, we will see that the Morse index of any such solution is infinity. The proof uses an Emden Fowler type transformation, so that we can pass to a nonlocal problem posed in the 1-dimensional Euclidean space. This is a joint work with Sergio Cruz-Blázquez and David Ruiz.
Per informazioni, rivolgersi a: galise@mat.uniroma1.it
Venerdì 04 novembre 2022
Ore 16:00, aula Picone, Dipartimento di Matematica, Sapienza Università di Roma
Ciclo di seminari per docenti
Claudio Bernardi et al. (Sapienza)
Proporzioni linguistiche - Rette sghembe - Argomenti di aritmetica e algebra
Per informazioni, rivolgersi a: marta.menghini@uniroma1.it
Le comunicazioni relative a seminari da includere in questo notiziario devono pervenire esclusivamente
mediante apposita form da compilare online, entro le ore 24 del giovedì precedente la settimana
interessata. Le comunicazioni pervenute in ritardo saranno ignorate.
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seminari@mat.uniroma1.it.
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