Analysis Student Seminar

from Tuesday
January 01, 2019 to Friday
May 31, 2019
Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars

Wednesday
January 30, 2019

4:00 PM
Math Tower 5-127
Silvia Ghinassi, Jack Burkart, Stony Brook University
Organizational meeting

Please join us to discuss the topic of this semester seminar. All are welcome.

[Spoiler: the topic will most likely be "regularity theory for minimal surfaces in higher codimension" (see this survey by De Lellis, https://bit.ly/2TnBNnE) so geometers are more than welcome...]


Wednesday
February 06, 2019

4:00 PM
Math Tower 5-127
Silvia Ghinassi, Stony Brook University
Federer-Fleming Theory of Integral Currents

We will introduce integral currents and other basics of geometric measure theory. No prior GMT knowledge will be assumed.


Wednesday
February 13, 2019

4:00 PM
Math Tower 5-127
Jack Burkart, Stony Brook University
Federer-Fleming Theory of Integral Currents - Part II

Currents are generalized surfaces. Last week we discussed the definition and the properties of currents a` la De Rham and we learned that, while their functional analytic properties make it very easy to obtain minimizers, those are not the minimizers you are looking for. So we introduced the concept of integer rectifiable currents and this week we will try to learn why this is the right class of objects to look at.


Wednesday
February 20, 2019

4:00 PM
Math Tower 5-127
Jacob Mazor, Stony Brook University
First considerations in regularity theory

We finish our introduction to currents by looking at the case of codimension 1 currents: this is special as integral currents of codimension 1 were in fact introduced before the foundational paper by Federer and Fleming, by De Giorgi and Caccioppoli as sets of finite perimeter.
We then move on to discuss some first considerations in regularity theory: after an overview of the known regularity results for codimension 1 and for higher codimension, we will start developing some preliminaries, such as monotonicty formulas and its consequences.


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars