Complex Analysis, Geometry and Dynamics
khiva_photo Things won are done; joy’s soul lies in the doing.
tashkent_photo Cressida, in Shakespeare’s ‘Troilus and Cressida’ (I.2)
CIMPA School, Uzbekistan
It will be held in hybrid mode over two weeks as follows:
-all the lectures, except for those of A. Sadullaev and S. Myslivets,
will delivered remotely, either live over Zoom or by pre-recorded videos;
-the Uzbek student participants will attend the lectures in person at the
Urgench State University.
ZOOM LINK FOR ALL THE TALKS: https://us02web.zoom.us/j/7389135247?pwd=OU8rUW1xeWNBUkM2U29EUk1NTkR5QT09
The videos of all the talks can be found here (by clicking on the talk title in the schedule): http://cimpa.urdu.uz/home
25th October — 6th November 2021
1st week: from Monday 25th October to Friday 29th October 2021
This week will feature 4 introductory lectures that will be
delivered in Urgench (near the historic city of Khiva).
2nd week: from Tuesday 2nd November to Saturday 6th November 2021
This week will feature 3 advanced lectures that will be
delivered in Urgench (near the historic city of Khiva).
HOST INSTITUTIONS
URGENCH STATE UNIVERSITY
Uzbekistan, Khorezm region, Urgench, Khamid Alimdjan street, 14
LOCAL COORDINATOR:
Umida BALTAEVA
(Urgench State University and the associated Khorezm Mamun Academy, Uzbekistan)
EXTERNAL COORDINATOR:
Dan POPOVICI
(Université Toulouse III — Paul Sabatier, France)
SCIENTIFIC COMMITTEE
Bo BERNDTSSON (Göteborg, Sweden);
Azimbay SADULLAEV (Tashkent, Uzbekistan);
Laura DE MARCO (Northwestern, United States);
Anna Maria FINO (Torino, Italy).
ORGANISING COMMITTEE
Bahram ABDULAEV (Urgench, Uzbekistan);
Mokhira VAISOVA (Urgench, Uzbekistan);
Dan POPOVICI (Toulouse, France);
Ahmed ZERIAHI (Toulouse, France).
OBJECTIVES
This school aims at providing interested graduate students from Uzbekistan and other Central Asian countries with the basic notions and some recent ideas and techniques at an advanced stage of current research in a wide spectrum of themes from classical complex analysis, pluripotential theory, geometry of compact complex manifolds and holomorphic dynamics.
The three main themes, complex analysis, geometry and dynamics, are interrelated. Each of them is first treated in an introductory course, that provides the basic notions, ideas and techniques of the subject, and is subsequently given an in-depth illustration through recent results at the forefront of current research in pluripotential theory, with geometric applications, in Kähler and non-Kähler complex geometry and, respectively, in complex dynamical systems.
COURSES
INTRODUCTORY COURSES (week 1): four 90-minute lectures per course
- Introduction to Complex Analysis in Several Variables
by Judith Brinkschulte (University of Leipzig, Germany)
- Introduction to Pluripotential Theory
by Azimbay Sadullaev (National University of Uzbekistan, Tashkent)
- Introduction to Hodge Theory
by Dan Popovici (University of Toulouse, France)
- Introduction to Complex Dynamics
by Jasmin Raissy (University of Toulouse, France)
- Morera’s Boundary Theorem in Multidimensional Complex Analysis
by Simona Myslivets (Syberian Federal University, Krasnoyarsk, Russia)
(This two-hour course will be given in the form of a pre-recorded video that will be made
available to the CIMPA students several weeks before the start of the school.)
ADVANCED COURSES (week 2): four 90-minute lectures per course
- Complex Monge-Ampère Flows and Singular Kähler-Einstein Metrics
by Vincent Guedj (University of Toulouse, France)
- Real and Complex Brunn-Minkowski Theory
by Bo Berndtsson (University of Gothenburg, Sweden)
- Dynamics in Several Complex Variables
by Charles Favre (Ecole Polytechnique, France)
TRAINING SESSIONS: four hour-long classes for the first session, two hour-long classes for each of the other two sessions
- Applications of Pluripotential Theory to Geometry
by Eleonora Di Nezza (Paris 6 University, France)
- Applications of Hodge Theory to Deformations of Complex Structures
by Houda Bellitir (Sichuan University, Chengdu, China)
- Morera’s Boundary Theorem in Multidimensional Complex Analysis
by Simona Myslivets (Syberian Federal University, Krasnoyarsk, Russia)
ALL ABSTRACTS: Abstracts
CIMPA SCHOOL SCHEDULE: school-schedule
TRENDS IN COMPLEX GEOMETRY: RESEARCH WORKSHOP
It will be held on Saturday 24th and on Sunday 25th April 2021
at the KHOREZM MAMUN ACADEMY in the Uzbek city of KHIVA
While not officially part of the CIMPA School, this research workshop has been planned to take place on the weekend in-between the two weeks of lectures of the CIMPA School and is intended as a useful addition to the school.
- REGISTRATION WEBPAGE:
CIMPA REGISTRATION WEB PAGE: this is for students who would like to apply for CIMPA support