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 Events
Fri 8 Feb 2019, 3:00pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
PIMS Mini-workshop on calculus of variations and partial differential equations around the work of Alessio Figalli
ESB 2012
Fri 8 Feb 2019, 3:00pm-6:00pm

Abstract

Calculus of variations and partial differential equations have been seeing great progress over the last decade, and some of the most important driving forces in these developments are optimal transport and free boundary theories. The recent Fields medalist, Alessio Figalli, has made groundbreaking results in these directions, and it is worth to bring a few leading researchers in these areas, to discuss the state of the art and the future directions, especially to inspire young researchers in the PIMS community.

 

 

Confirmed Speakers

Alessio Figalli, ETH Zurich  

Francesco Maggi, UTexas at Austin

Robert McCann, UToronto

Ovidiu Savin, ColumbiaU

Yannick Sire, Johns Hopkins University

 

 

Workshop Schedule 

Friday February 8: Location: ESB 2012

3:00pm- 3:30pm: Light Reception at PIMS Lounge, ESB 4133 

3:30pm- 4:30pm: PIMS -UBC Math Distinguished Colloquium with A. Figalli

5:00pm- 6:00pm: Talk 2 (Speaker TBC)

 

Saturday February 9: Location, MATH 102

Talks at 9am, speakers TBC 
 


 

Registration:

Registration for this event is free but mandatory.
To register, please visit the PIMS webpage here


Location:

Friday February 8: Earth Sciences Building, Room 2012

Saturday February 9: Location MATH 102

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Sat 9 Feb 2019, 9:00am SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 102
PIMS Mini-workshop on calculus of variations and partial differential equations around the work of Alessio Figalli
MATH 102
Sat 9 Feb 2019, 9:00am-5:30pm

Abstract

Calculus of variations and partial differential equations have been seeing great progress over the last decade, and some of the most important driving forces in these developments are optimal transport and free boundary theories. The recent Fields medalist, Alessio Figalli, has made groundbreaking results in these directions, and it is worth to bring a few leading researchers in these areas, to discuss the state of the art and the future directions, especially to inspire young researchers in the PIMS community.
 
 
Confirmed Speakers
Alessio Figalli, ETH Zurich  
Francesco Maggi, UTexas at Austin
Robert McCann, UToronto
Ovidiu Savin, ColumbiaU
Yannick Sire, Johns Hopkins University
 
 

Workshop Schedule 

Friday February 8: Location: ESB 2012

3:00pm- 3:30pm: Light Reception at PIMS Lounge, ESB 4133 

3:30pm- 4:30pm: PIMS -UBC Math Distinguished Colloquium with A. Figalli

5:00pm- 6:00pm: Talk 2 (Speaker TBC)

 

Saturday February 9: Location, MATH 102

Talks at 9am, speakers TBC 

 
 
Registration:
Registration for this event is free but mandatory.
To register, please visit the PIMS webpage here.

Location:
Friday February 8: Earth Sciences Building, Room 2012
Saturday February 9: Location MATH 102
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Penn State
Tue 2 Apr 2019, 12:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 126
TBA
MATH 126
Tue 2 Apr 2019, 12:30pm-1:30pm

Abstract

 
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Columbia University
Tue 2 Apr 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
TBA
Evolution of non-compact hypersurface by inverse mean curvature
TBA
Tue 2 Apr 2019, 3:30pm-4:30am

Abstract

In this talk, we first introduce the inverse mean curvature flow and its well known application in the the proof of Riemannian Penrose inequality by Huisken and Ilmanen. Then we discuss our main result which addresses the existence and behavior of convex non-compact inverse mean curvature flow.  

The key ingredient is a priori interior in time estimate on inverse mean curvature written in terms of the aperture of supporting cone at infinity. This is a joint work with P. Daskalopoulos and I will also mention the recent work with P.-K. Hung concerning the evolution of singular hypersurfaces. 
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