Notiziario Scientifico

Notiziario dei seminari di carattere matematico
a cura del Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Settimana dal 12-09-2022 al 18-09-2022

Lunedì 12 settembre 2022
Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Hyperkähler varieties and related topics
Programma:

  • 9:00 (aula C) Pietro Beri (IMJ-PRG) Double EPW sextics and O’Grady’s conjecture
  • 10:00 coffee break
  • 10:30 (aula Picone) Claire Voisin (IMJ-PRG) The geometry of linear systems of low degree on hyper-Kähler fourfolds I
  • 11:45 (aula Picone) Emanuele Macrì (Université Paris-Saclay) The geometry of linear systems of low degree on hyper-Kähler fourfolds, II
  • 13:00 lunch break
  • 14:00 (aula C) Lucas Li Bassi (Université de Poitiers) Cubic threefolds and IHS manifolds with a non-symplectic automorphism
  • 15:00 (aula Picone) Lambertus van Geemen (Università di Milano) Contractions of hyper-Kähler fourfolds and the Brauer group
  • 16:00 coffee break
  • 16:30 (aula Picone) Alessandra Sarti (Université de Poitiers) Degenerations of IHS manifolds with automorphism
Sito web: https://sites.google.com/view/hkroma2022/program

Lunedì 12 settembre 2022
Ore 14:30, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Analisi Matematica
Masahiro Ikeda (Keio University and RIKEN Center for Advanced Intelligence Project, Tokyo)
Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential
In this talk we present our recent result about long time dynamics (i.e., scattering and blow-up) of solutions for the focusing NLS with a repulsive inverse-power potential and with initial data lying exactly at the mass-energy threshold, namely, when \(E_{V}(u_0)M(u_0)=E_0(Q)M(Q)\).
Per informazioni, rivolgersi a: spadaro@mat.uniroma1.it


Lunedì 12 settembre 2022
Ore 15:00, Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
seminario di Analisi Matematica
Noboru Chikami (Nagoya Insititute of Technology)
Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations
We study the problem of uniqueness for Hardy-Hénon parabolic equations, which are semilinear heat equations with the singular potential (Hardy type) or the increasing potential (Hénon type) in the nonlinear term. To deal with the Hardy-Hénon type nonlinearities, we employ the weighted Lorentz spaces as the solution space. In this talk, we are concerned with the unconditional uniqueness, non-uniqueness and uniqueness criterion for Hardy-Hénon parabolic equations in the weighted Lorentz spaces. This talk is based on a joint work with M. Ikeda (RIKEN) and K. Taniguchi (Tohoku U.) and S. Tayachi (University of Tunis El Manar).
Per informazioni, rivolgersi a: spadaro@mat.uniroma1.it


Martedì 13 settembre 2022
Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Hyperkähler varieties and related topics
Programma:

  • 9:00 (aula C) Chenyu Bai (IMJ-PRG) The geometry of G2 and Mukai model of genus 10
  • 10:00 coffee break
  • 10:30 (aula Picone) Olivier Debarre (IMJ-PRG) Numerical invariants of hyper-Kähler varieties
  • 11:45 (aula Picone) Laurent Manivel (Université Paul Sabatier) A birational involution in genus 10
  • 13:00 lunch break
  • 14:00 (aula C) Salvatore Floccari (IAG Hannover) Moduli of polarized hyperkähler varieties
  • 15:00 (aula Picone) Christian Lehn (TU Chemnitz) Non-hyperbolicity of symplectic varieties
  • 16:00 coffee break
  • 16:30 (aula Picone) Lie Fu (Université de Strasbourg) Unpolarized Shafarevich conjecture for hyperkähler varieties
Sito web: https://sites.google.com/view/hkroma2022/program

Mercoledì 14 settembre 2022
Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Hyperkähler varieties and related topics
Programma:

  • 9:00 (aula C) Alessio Bottini (Università di Roma Tor Vergata) Derived categories of Hyper-Kähler varieties
  • 10:00 coffee break
  • 10:30 (aula Picone) Eyal Markman (University of Massachussets) Rational Hodge isometries of hyper-Kähler varieties of K3^[n] and generalized Kummer type are algebraic
  • 11:45 (aula Picone) Mirko Mauri (University of Michigan) Hodge-to-singular correspondence for reduced curves
Sito web: https://sites.google.com/view/hkroma2022/program

Mercoledì 14 settembre 2022
Ore 10, Aula 1B1, Dipartimento SBAI, Via Scarpa 14 (Edificio RM002), Sapienza Università di Roma
Corso di dottorato
Masahiro Yamamoto (The University of Tokyo)
Inverse problems and time-fractional partial differential equations
We consider an initial boundary value problem for time-fractional diffusion-wave equation (in the following we refer to it as system (*)). The lectures aim at self-contained concise explanations for the fundamental theory for such problems and mathematical analysis of inverse problems. The idea of fractional derivatives dates back to Leibniz and there have been many works including by Abel, Riemann, Liouville. Now the system (*) is widely recognized as more feasible model for various phenomena such as anomalous diffusion in heterogeneous media, where the anomaly cannot be well interpreted by the classical advection. diffusion equation and the conventional models often provide wrong simulation results. Thus we have to exploit more relevant models because the issues are serious, for example, for the protection of the environments , and the mathematical researches should support such practical applications. For researches on inverse problems, we need also mathematical analyses for (*). Usually in practice, we are not a priori given coefficients and other quantities in (*). The inverse problems are concerned with parameter identification, and are essential for more accurate prediction or simulations of anomalous diffusion. Therefore mathematical researches should be done for both foundations of direct problems and applications to inverse problems for (*).
Date del corso: 14, 20, 22, 27, 28 settembre; 4, 5, 7 ottobre


Giovedì 15 settembre 2022
Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Hyperkähler varieties and related topics
Programma:

  • 9:00 (aula C) Valeria Bertini (Porto University) An overview on singular symplectic varieties
  • 10:00 coffee break
  • 10:30 (aula Picone) Misha Verbitsky (IMPA) Parabolic automorphisms of hyperkähler manifolds
  • 11:45 (aula Picone) Grzegorz Kapustka (Jagellonian University) Nikulin orbifolds
  • 13:00 lunch break
  • 14:00 (aula C) Francesco Denisi (Université de Lorraine) Some aspects of the (birational) geometry of hyperkähler manifolds
  • 15:00 (aula Picone) Benjamin Bakker (University of Illinois at Chicago) The Matsushita alternative
  • 16:00 coffee break
  • 16:30 (aula Picone) Giovanni Mongardi (Università di Bologna) Kawamata-Morrison cone conjecture for singular HK, I
Sito web: https://sites.google.com/view/hkroma2022/program

Giovedì 15 settembre 2022
Aula "Dal Passo", Dipartimento di Matematica, Università di Roma "Tor Vergata"
Workshop
Topology of Data in Rome
Programma:

  • 9:00 registrazione
  • 9:30 Bastian Rieck A Good Scale is Hard To Find: Shape Analysis Using Topology
  • 10:30 coffee break
  • 11:00 Barbara Giunti Fantastic barcode algorithms and where to find them
  • 12:00 Katherine Benjamin Multiscale methods for spatial data in biology
  • 13:00 lunch
  • 14:30 Wojtek Chacholski Homological algebra and persistence
  • 15:30 Ryan Budney Filtrations of smooth manifolds from maps to the plane
  • 16:30 tea break
  • 17:00 poster session
Pagina web del workshop https://www.mat.uniroma2.it/Eventi/2022/Topoldata/topoldata.php. Il workshop è finanziato dai fondi del Progetto di Dipartimento Math@Tov, CUP E83C18000100006.

Giovedì 15 settembre 2022
Ore 14:15, Aula M1, Dipartimento di Matematica e Fisica, Università Roma Tre
Seminario di Geometria
Lars Kühne (University of Copenhagen)
TBA
TBA
Per informazioni, rivolgersi a: amos.turchet@uniroma3.it


Venerdì 16 settembre 2022
Dipartimento di Matematica, Sapienza Università di Roma
Conferenza
Hyperkähler varieties and related topics
Programma:

  • 9:00 (aula C) Giulia Saccà (Columbia University) Moduli spaces as Irreducible Symplectic Varieties
  • 10:00 coffee break
  • 10:30 (aula Picone) Laura Pertusi (Università di Milano) Moduli spaces of stable objects in Enriques categories
  • 11:45 (aula Picone) Gianluca Pacienza (Université de Lorraine) Kawamata-Morrison cone conjecture for singular HK, II
Sito web: https://sites.google.com/view/hkroma2022/program

Venerdì 16 settembre 2022
Aula "Dal Passo", Dipartimento di Matematica, Università di Roma "Tor Vergata"
Workshop
Topology of Data in Rome
Programma:

  • 9:30 Pawel Dlotko Why should data scientists care about topology?
  • 10:30 coffee break
  • 11:00 Anibal Medina Persistence Steenrod modules
  • 12:00 Kelly Maggs Morse Theoretic Signal Compression and Reconstruction on Chain Complexes
Pagina web del workshop https://www.mat.uniroma2.it/Eventi/2022/Topoldata/topoldata.php. Il workshop è finanziato dai fondi del Progetto di Dipartimento Math@Tov, CUP E83C18000100006.

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