Next seminar on geometric analysis will take place on April 28

The seminar will be held on April 28 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

Maxim V. Tryamkin will present his talk "Schwarz's lemma for mappings with weighted bounded distortion".

A class of mappings generalizing quasiregular mappings is considered. Each mapping fr om this class is defined on a domain of an n-dimensional Euclidean space and has the following properties: it is open, continuous, and discrete, locally belongs to the Sobolev class W1q, has a finite distortion and a nonnegative Jacobian, and its weighted (p,q)-distortion function is integrable to some extent depending on p and q, wh ere n-1<q≤p<∞. We obtain an analogue of the Schwarz lemma for such mappings provided that p≥n. The proof uses the spherical symmetrization procedure and the Grötsch condenser concept.

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.