[Csdmsemo] Title and abstract added to 1/15 Variational Methods in Geometry

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Mathematics Seminars

Week of January 14, 2019

 

 

--------------

To view mathematics in titles and abstracts, please click on the talk's
link.

--------------

 

Tuesday, January 15

 

Variational Methods in Geometry Seminar

Topic:                    Regularity of weakly stable codimension 1 CMC
varifolds

Speaker:              Neshan Wickramasekera, University of Cambridge;
Member, School of Mathematics

Time/Room:       1:00pm - 3:00pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=142606>
http://www.math.ias.edu/seminars/abstract?event=142606

 

Variational Methods in Geometry Seminar

Topic:                    Minimal surfaces with index one in spherical space
forms

Speaker:              Celso Viana, Member, School of Mathematics

Time/Room:       3:30pm - 5:30pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=142609>
http://www.math.ias.edu/seminars/abstract?event=142609

 

 

 

Wednesday, January 16

 

Working Group on Geometric Applications of the Langlands Correspondence

Speaker:              Kiran Kedlaya, University of California, San Diego;
Visiting Professor; School of Mathematics

Time/Room:       3:30pm - 5:30pm/Simonyi Hall 101

 

 

 

1 Regularity of weakly stable codimension 1 CMC varifolds 
   Neshan Wickramasekera 



The lecture will discuss recent joint work with C. Bellettini and O.
Chodosh. The work taken together establishes sharp regularity conclusions,
compactness and curvature estimates for any family of codimension 1 integral
$n$-varifolds satisfying: (i) locally uniform mass and $L^{p}$ mean
curvature bounds for some $p > n;$ (ii) two structural conditions and (iii)
two variational hypotheses on the orientable regular parts, namely,
stationarity and (weak) stability with respect to the area functional for
volume preserving deformations (supported on the regular parts). The work
builds on the earlier work for zero mean curvature, strongly stable
varifolds and on the fundamental theories of Schoen--Simon--Yau and of
Schoen--Simon for strongly stable hypersurfaces with small singular sets.
The lecture will focus on how to handle the new difficulties that arise.
These stem from the combinatinon of higher multiplicity, lack of a two sided
strong maximum principle and the absence of any a priori hypothesis on the
size of the singular set.

http://www.math.ias.edu/seminars/abstract?event=142606

 



2 Minimal surfaces with index one in spherical space forms 
   Celso Viana 



Minimal surfaces are critical points of the area functional. In this talk I
will discuss classification results for minimal surfaces with index one in
3-manifolds with non-negative Ricci curvature and outline the proof that in
spherical space forms with large fundamental group the genus of such
surfaces is at most two.

http://www.math.ias.edu/seminars/abstract?event=142609

 

 



IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars

-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://imap.math.ias.edu/pipermail/csdmsemo/attachments/20190114/51fbccd1/attachment.html>