Next seminar on geometric analysis will take place on May 26

The seminar will be held on May 26 at 4:20 pm (UTC+7) in a mixed format: meetings are held in person in room 417 of the Sobolev Institute of Mathematics SB RAS, and they are broadcast on the Google Meet platform at https://meet.google.com/oyt-srqy-ovc.

Sergey K. Vodopyanov will present his talk "New results and current problems in quasiconformal analysis".

We will consider classes of homeomorphisms of Euclidean domains subject to certain natural conditions. The new concept in quasiconformal analysis is based on the fundamental connection between bounded composition operators from a weighted Sobolev space to a weightless one, estimates for the capacity in the image in terms of the weighted capacity in the preimage, and homeomorphisms of the Sobolev class with finite distortion, for which the outer operator distortion function is summable.

The proposed approach includes, as a special case, almost all classes of homeomorphisms previously studied in the framework of the quasiconformal theory.

Both new results obtained in the framework of the new paradigm and new proofs of known results with a wider field of application will be discussed.

Please pay attention to the following rules of attending an online broadcast:

• As a security measure, it is highly advisable to connect using your real name. 
• You are free to join the discussion after the end of a talk. However, during a speech please keep your microphone turned off. 
• For the convenience of the speaker, we recommend writing your questions in the chat in advance.