Weekly Bulletin (it)
a cura del Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma
Settimana dal 05-06-2023 al 11-06-2023
Lunedì 05 giugno 2023
Aula 3, Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Vito Volterra Meeting
Programma:
- 9.00 Welcome
- 9.30 Sergio Conti (Hausdorff Center for Mathematics, Bonn)
- 11.30 Coffee break
- 12.00 Alessandra Pluda (Università di Pisa)
- 13.00 Lunch
- 14.30 Annalisa Massaccesi (Università di Padova)
- 15.30 Kostantinos Zemas (Universität Münster)
Lunedì 05 giugno 2023
Ore 12:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Geometria
Siye Wu (National Tsing Hua University, Taiwan)
Deformation of the prequantum action on a symplectic manifold
Using Fedosov's construction in deformation quantisation, we propose a family of star products associated to complex polarisations on a symplectic manifold and we construct the action of a function on a section of the prequantum line bundle. In the case of symplectic vector spaces, the star products are non-formal, and are compatible with the projectively flat connection on the bundle of Hilbert spaces. The construction is equivariant with respect to symplectic group actions that can be lifted to metaplectic group actions on the bundles.
Per informazioni, rivolgersi a: piazza@mat.uniroma1.it
Martedì 06 giugno 2023
Aula 3, Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Vito Volterra Meeting
Programma:
- 9.00 Sylvia Serfaty (New York University)
- 11.00 Coffee break
- 11.30 Sergio Conti (Hausdorff Center for Mathematics, Bonn)
Martedì 06 giugno 2023
Ore 14:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Probabilità
Federico Sau (Università di Trieste)
Spectral gap of the symmetric inclusion process
In this talk, we consider the symmetric inclusion process on a general finite graph. Our main result establishes universal upper and lower bounds for the spectral gap of this interacting particle system in terms of the spectral gap of the random walk on the same graph. In the regime in which the gamma-like reversible measures of the particle system are log-concave, our bounds match, yielding a version for the symmetric inclusion process of the celebrated Aldous' spectral gap conjecture --- originally formulated for the interchange process and proved by Caputo, Liggett and Richthammer (JAMS 2010). Finally, by means of duality techniques, we draw analogous conclusions for an interacting diffusion-like unbounded conservative spin system known as Brownian energy process, which may be interpreted as a spatial version of the Wright-Fisher diffusion with mutation. Based on a joint work with Seonwoo Kim (SNU, South Korea).
Per informazioni, rivolgersi a: matteo.quattropani@uniroma1.it
Mercoledì 07 giugno 2023
Aula 3, Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Vito Volterra Meeting
Programma:
- 10.30 Coffee break
- 11.00 Guido De Philippis (SISSA)
- 13.00 Lunch
- 14.30 Sylvia Serfaty (New York University)
- 16.30 Simone Steinbrüchel (University of Zürich)
Mercoledì 07 giugno 2023
Ore 14:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
Seminario di Algebra e Geometria
Tomoyuki Arakawa (Kyoto University)
4D/2D duality and representation theory
This talk is about the 4D/2D duality by Beem et al., a new connection between quantum field theory and representation theory discovered rather recently. It associates an algebraic object called VOA to any 4-dimensional superconformal field theory with N=2 supersymmetry, and the resulting VOA is conjecturally a complete invariant of the 4-dimensional theory. I will talk about the rich structure of the representation theory of the VOAs arising from 4-dimensional theory by this duality.
Mercoledì 07 giugno 2023
Ore 16:00, Aula Dal Passo, Dipartimento di Matematica, Università di Roma Tor Vergata
Seminario di Algebre di Operatori
Claudio Dappiaggi (Università di Pavia)
Stochastic Partial Differential Equations and Renormalization à la Epstein-Glaser
We present a novel framework for the study of a large class of nonlinear stochastic partial differential equations, which is inspired by the algebraic approach to quantum field theory. The main merit is that, by realizing random fields within a suitable algebra of functional-valued distributions, we are able to use specific techniques proper of microlocal analysis. These allow us to deal with renormalization using an Epstein-Glaser perspective, hence without resorting to any specific regularization scheme. As a concrete example we shall use this method to discuss the stochastic \(\Phi^3_d\) model and we shall comment on its applicability to the stochastic nonlinear Schrödinger equation.
Per informazioni, rivolgersi a: morinell@mat.uniroma2.it
Mercoledì 07 giugno 2023
Ore 16:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Fisica Matematica
Giulia Sebastiani (Università di Francoforte)
On the REM approximation of tap free energies
The free energy of TAP-solutions for the SK-model of mean-field spin glasses can be expressed as a nonlinear functional of local terms: we exploit this feature in order to contrive abstract REM-like models which we then solve by a classical Sanov-type large deviations treatment. This allows to identify the origin of the physically unsettling quadratic (in the inverse of temperature) correction to the Parisi free energy for the SK-model. From a non-spin glass point of view, this work is the first in a series of refinements that addresses the stability of hierarchical structures in models of evolving populations. Based on joint work with N. Kistler and M.A. Schmidt.
Per informazioni, rivolgersi a: basile@mat.uniroma1.it
Mercoledì 07 giugno 2023
Ore 17:15, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Fisica Matematica
Marco Olivieri (Università di Aarhus)
Universality of the energy expansion for the dilute Bose gases in the thermodynamic regime
Dilute Bose gases interacting through a positive, pairwise, radial potential have a common expression for the first terms of the energy density expansion given by the so-called Lee-Huang-Yang (LHY) formula. The LHY formula depends only on the density of the gas and the scattering length of the potential, showing a universal behavior of the bosonic system independent of the particular shape of the potential. We present a proof of the derivation of the LHY formula in 2D and 3D in thermodynamic regime based on a rigorous Bogoliubov theory and localization techniques. Based on a joint work with S. Fournais, T. Girardot, L. Junge and L. Morin.
Per informazioni, rivolgersi a: basile@mat.uniroma1.it
Giovedì 08 giugno 2023
Aula 3, Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Vito Volterra Meeting
Programma:
- 9.30 Paolo Bonicatto (Warwick)
- 10.30 Coffee break
- 11.00 Camillo De Lellis (IAS)
- 13.00 Lunch
- 14.30 Guido De Philippis (SISSA)
Venerdì 09 giugno 2023
Aula 3, Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Vito Volterra Meeting
Programma:
- 9.30 Manuel Friedrich (FAU Erlangen-Nürnberg)
- 10.30 Coffee break
- 11.00 Camillo De Lellis (IAS)
Venerdì 09 giugno 2023
Ore 14:30, Aula Roberta Dal Passo, Dipartimento di Matematica, Università degli Studi di Roma "Tor Vergata"
Algebra and Representation Theory Seminar
Rosanna Laking (Università degli Studi di Verona)
Cosilting complexes and asymptotic triangulations of the annulus
In 2014 Baur and Dupont introduced the notion of an asymptotic triangulation. This is a combinatorial object arising naturally from the combinatorics of cluster algebras of type Ã. They showed that the set of all asymptotic triangulations has an interesting combinatorial structure: it is a poset and the edges of the Hasse graph can be obtained by flipping the asymptotic arcs. In this talk I will explain how this set parametrises certain 2-term complexes in derived category of a finite-dimensional algebra called a cluster-tilted algebra of type à and that the flip operation corresponds to a mutation operation. This is joint work with L.Angeleri Hügel, K.Baur and F.Sentieri.
Venerdì 09 giugno 2023
Ore 16:00, Aula Roberta Dal Passo, Dipartimento di Matematica, Università degli Studi di Roma "Tor Vergata"
Algebra and Representation Theory Seminar
Alessandro Zampini (Università degli Studi di Napoli "Federico II")
Derivation based differential calculus for a class of noncommutative spaces
After a general introduction on differential calculi on noncommutative spaces, we equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as a reduction of a redundant calculus over the Moyal four dimensional space.
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