Topics in Geometric Analysis II (Fall2022)

EDMA Doctoral Program (Fall2022)  MATH-731

Topics in Geometric Analysis II

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The doctoral school course Topics in Geometric Analysis II  will take the form of a reading seminar this fall. Participant are welcome (and expected) to suggest topics related to geometry or geometric analysis, typical subject can be on metric geometry, convex geometry, integral geometry, quasi-conformal maps, Lp-invariant of manifolds (such as Lp cohomology) etc.

Note that the subject of Geometric Analysis often refers to hard analysis (Sobolev Spaces, PDEs...) applied to geometric problems, in this seminar we also, and perhaps mainly, think about soft analysis.

The seminar will take places on Tuesday, 16h15-18h  at EPFL room MAA112 (but the schedule can be changed if it is inconvenient for the audience).

Talks :

Tuesday Sept. 27,  4:15 pm : Marc Troyanov :  "Integral Geometry and Valuation, the Hadwiger Theorem.

Tuesday October 4,  : Hadwiger's Theorem : Applications.

October 11, Rossinelli Ilaria : An introduction to plane curves simgularities, links and their invariants. (lecture notes).

October 19, Tanguy Vernet :  A brief introduction to singularities and their resolutions for curves and normal ssurfaces. (lecture notes).

November 1st :  Guillaume Buro    "A finlser systolic ratio on the sphere with nice properties"

November 8 :  Marc Troyanov   "Surfaces with bounded integral curvature in the sense of Alexandrov"

November 15 : Rossinelli Ilaria

  --> We will also visit the Mercator Globes that day.

November 22 : Tanguy Vernet

November 29 : Kirsi Peltonen  "'Around the Folds'."

December 6 : Gonzalo Ruiz

December 13 : Tom Ferragut  "Geometry and rigidity of quasi-isometries of horospherical products."

December 20 :  ??

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