Complex Analysis, Geometry and Dynamics

Location

URGENCH
,
Uzbekistan

Dates

to

Presentation

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.

Official language of the school: English

Administrative and scientific coordinators

Umida Baltaeva (Urgench State University & the associated Khorezm Mamun Academy (chair),
Uzbekistan
, )
Dan Popovici (Université Toulouse III Paul Sabatier,
France
, )

Scientific committee

Bo Berndtsson (Chalmers tekniska högskola and Göteborgs universitet, Sweden)
Azimbay Sadullaev (National University of Uzbekistan, Uzbekistan)
Laura De Marco (Northwestern University, USA)
Anna Maria Fino (Università di Torino, Italy)

Scientific program

Course 1: "Introduction to Complex Analysis in Several Variables", Judith Brinkschulte (Universität Leipzig, Germany)

Course 2: "Introduction to Pluripotential Theory", Azimbay Sadullaev (National University of Uzbekistan, Uzbekistan)

Course 3: "Introduction to Hodge Theory", Dan Popovici (Université Toulouse III Paul Sabatier, France)

Course 4: "Introduction to Complex Dynamics", Jasmin Raissy (Université Toulouse III Paul Sabatier, France)

Course 5: "Complex Monge-Ampère Flows and Singular Kähler-Einstein Metrics", Vincent Guedj (Université Toulouse III Paul Sabatier, France)

Course 6: "Real and Complex Brunn-Minkowski Theory", Bo Berndtsson (Chalmers tekniska högskola and Göteborgs universitet, Sweden)

Course 7: "Dynamics in Several Complex Variables", Charles Favre (École Polytechnique, France)

Course 8: "Applications of Pluripotential Theory to Geometry", Eleonora Di Nezza (Institut de Mathématiques de Jussieu, France)

Course 9: "Applications of Hodge Theory to Deformations of Complex Structures", Simona Myslivets (Syberian Federal University, Russia)

Website of the school

How to participate

For registration and application to a CIMPA financial support, follow the instructions given here

Deadline for registration and application: August 25, 2021