Integral and Metric Geometry (22w5181)


(Tel Aviv University)

(Goethe University Frankfurt)

Alexander Lytchak (University of Cologne)

(Concordia University)


The Casa Matemática Oaxaca (CMO) will host the "Integral and Metric Geometry" workshop in Oaxaca, from May 1 - May 6, 2022.

Modern geometry consists of numerous, virtually independent fields. A unifying theme of mathematics is the uncovering of deep ties between different, seemingly unrelated facts. Our workshop strives to improve our understanding of one such deep link, the Weyl principle, which we hope could form a bridge between the disciplines of integral geometry and valuation theory on one side, and metric geometry and spaces with curvature bounds on the other.

Valuation theory grew out of integral geometry, and studies such geometric quantities as volume, surface area, and their generalizations. Spaces with curvature bounds are geometric objects which are not necessarily smooth, but that retain nevertheless some of the features of smooth spaces. For example convexity/concavity properties of the distance function can be seen as a non-smooth generalization of the smooth notion of curvature of constant sign.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT