Arkadiusz Lewandowski

[:is]Málstofa í stærðfræði

Titill: Families of peak functions and exposing maps in strictly pseudoconvex domains

Fyrirlesari: Arkadiusz Lewandowski, Jagiellonian University

Staðsetning: Tg-227
Tími: Fimmtudagur 2. maí kl. 11.40

Ágrip:

It is known that given a smooth strictly pseudoconvex domain, all of its boundary points admit a peak function and an exposing map. We shall discuss the recent question of Deng, Guan, and Zhang (TAMS, 2016), concerning the existence of smooth families of peak functions and exposing maps at the boundary points of strictly pseudoconvex domains forming the family varying in a smooth way. [:en]

Math Colloquium

Speaker: Arkadiusz Lewandowski, Jagiellonian University

Title: Properties of solution trajectories for a metrically regular generalized equation

Location: Tg-227
Time: Thursday May 2 at 11.40 am

Abstract:

It is known that given a smooth strictly pseudoconvex domain, all of its boundary points admit a peak function and an exposing map. We shall discuss the recent question of Deng, Guan, and Zhang (TAMS, 2016), concerning the existence of smooth families of peak functions and exposing maps at the boundary points of strictly pseudoconvex domains forming the family varying in a smooth way. [:]