Geometry Topology Dynamical Systems Seminar
Spring 2022
Unless otherwise noted, the GTDS Seminar will be held on Mondays @ 1pm at FO 2.404.
For questions about the seminar, please contact Stephen McKeown
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Date |
Speaker/Institution |
Title/Abstract |
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Feb 21 |
U. Pittsburgh |
Convergence of harmonic maps when domain becomes singular |
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Feb 28 |
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Mar 7 |
Purdue |
TBA |
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Mar 14 |
Spring Break |
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| Mar 21 | ||
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Mar 28 |
Notre Dame |
TBA |
| Apr 4 |
Wichita State |
TBA |
| Apr 11 |
Texas Tech |
TBA |
|
April 18 |
OK State |
TBA |
| April 25 |
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May 2 |
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Archive of talks from previous semesters
Convergence of harmonic maps when domain becomes singular
Woongbae Park (Pitt) February 21, 2022
After the well-known Uhlenbeck compactification result, the bubble phenomenon of harmonic maps has been studied via various approaches. However, when the domain degenerates, only few results are known. In this talk, I will present a method using Deligne-Mumford moduli space to derive similar results to usual case of fixed domain. The classical “bubble tree solution” can be obtained under “regular nodes” assumption. Moreover, in this method, all bubbles are captured in more automatic sense. This result provides a sufficient condition that “no neck property” holds.