Bollettino settimanale
Settimana 19/06/2023 - 23/06/2023
Seminari
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
DIFFERENTIAL EQUATIONS SEMINAR
Date: 20 June 2023
Schedule: 14:30 - Rome Time
Where: Conference Room "R. Dal Passo"
Title: " Applications of the Calderòn-Zygmund theory to holomorphic singular integrals "
Speaker: Loredana Lanzani (Università di Bologna)
Abstract: Let D be a domain in complex Euclidean space Cn with the complex dimen-
sion n being at least 2, so that the tool of conformal mapping is unavailable. The classical
methods for the Cauchy-Szegő projection, SD , associated to such D rely on apriori esti-
mates of the Cauchy-Szegő kernel and are most effective for smooth D (that is, D of class
C∞). In 1978 Norberto Kerzman and Eli Stein pioneered a new approach based on an
operator identity that relates SD to a holomorphic, Cauchy-type singular integral operator
whose kernel had been constructed in 1969 independently by G. Khenkin and E. Ramirez
de Arellano. The Kerzman-Stein identity is the earliest evidence pointing to a deep connec-
tion between several complex variables and the Calderón-Zygmund theory. (Incidentally,
Calderòn’s iconic result on the Cauchy transform for a Lipschitz planar curve also appeared
in 1978.) As the Calderòn-Zygmund theory was further developed – notably, through the
T (1) theorem – its connection with several complex variables also evolved and ultimately
led to the resolution, in 2017, of the Lp-regularity problem for SD associated to strongly
pseudoconvex D with minimal boundary regularity (namely, the class C2), along with the
resolution of the analogous problem for the Bergman projection BD .
In this talk I will highlight my collaboration with Stein on these problems. I will
also present new developments, by several authors, that have stemmed from this work,
specifically: the weighted Lp-regularity of SD and BD , and characterizations of (unweighted
and weighted) Lp-regularity and Lp-compactness of the commutators [b, SD ] and [b, BD ] for
strongly pseudoconvex D with minimal smoothness. I will close with open problems.
Note: This talk is part of the activity of the MIUR Department of Excellence Project MatMod@TOV (2023-2027)
Nota: Questo seminario fa parte delle attività del progetto "Dipartimento d'eccellenza" MatMod@TOV (2023-2027)
Organizing Committee:
Riccardo Molle (mail to contact)
Alfonso Sorrentino (mail to contact)
Further Info and Program: Click here for DIFFERENTIAL EQUATIONS SEMINAR LIST and INFORMATIONS
Streaming Link (MS Teams): This seminar will be held in person
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
Where Mathematics Meets Quantum Physics: a workshop on the occasion of Roberto Longo's 70th birthday
Date: 21 - 23 June 2023
Schedule: 14:30 - Rome Time
Where: Enrico Fermi Research Center (CREF), June 21-23, 2023, Rome and The workshop will be streamed online
Title: " Where Mathematics Meets Quantum Physics: a workshop on the occasion of Roberto Longo's 70th birthday "
Speaker:
Detlev Buchholz (University of Göttingen)
Bin Gui (Tsinghua University)
Stefan Hollands (University of Leipzig)
Masaki Izumi (Kyoto University)
Arthur M. Jaffe (Harvard University)
Victor Kac (MIT)
Yasuyuki Kawahigashi (University of Tokyo)
Gandalf Lechner (University of Erlangen-Nuremberg)
Yoshiko Ogata (University of Tokyo)
Hirosi Ooguri (Caltech)
Sorin Popa (UCLA)
Kasia Rejzner (University of York)
Jean-Luc Sauvageot (CNRS Paris)
Mihály Weiner (BME Budapest)
Feng Xu (University of California Riverside)
Abstract:
See this page below:
Click here for abstract of the Workshop
Organizing Committee:
Sebastiano Carpi
Fabio Ciolli
Roberto Conti
Francesco Fidaleo
Andrea Gabrielli
Luca Giorgetti
Daniele Guido
Tommaso Isola
Vincenzo Morinelli
Gerardo Morsella
Alessandro Pizzo
Florin Radulescu
Giuseppe Ruzzi
Yoh Tanimoto
Further Info and Program: Click here for the Workshop Webpages
Streaming Link (MS Teams): The workshop will be streamed online
Eventi
Università degli Studi di Roma "Tor Vergata"
Dipartimento di Matematica
PhD Course
The metric completion of the space of Kahler metrics and applications
(Advanced Topics in Geometry)
Period: 23.05.29 - 23.06.23
Speaker: Tamas Darvas (University of Maryland U.S.A) )
Schedule:
| Day | Time and Room |
|---|---|
| 2023.05.29 | h: 14:30/16:00 Conference Room 1201 "R. Dal Passo" |
| 2023.06.01 | h: 14:30/16:00 Conference Room 1201 "R. Dal Passo" |
| 2023.06.05 | h: 14:30/16:00 Conference Room 1201 "R. Dal Passo" |
| 2023.06.08 | h: 14:30/16:00 Conference Room 1201 "R. Dal Passo" |
| 2023.06.12 | h: 14:30/16:00 Conference Room 1201 "R. Dal Passo" |
| 2023.06.15 | h: 14:30/16:00 Conference Room 1201 "R. Dal Passo" |
| 2023.06.22 | h: 14:30/16:00 Conference Room 1101 "C. D'Antoni" |
Organizing Committee:
Stefano Trapani (Contact Mail)
Further Information:
Click here for PhD Webpage
Tamàs Darvas Page