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CMSA Math-Science Literature Lecture: Area-minimizing integral currents and their regularity

September 25, 2020 @ 9:00 am - 10:30 am

Camillo De Lellis (IAS)

Title: Area-minimizing integral currents and their regularity

Abstract: Caccioppoli sets and integral currents (their generalization in higher codimension) were introduced in the late fifties and early sixties to give a general geometric approach to the existence of area-minimizing oriented surfaces spanning a given contour. These concepts started a whole new subject which has had tremendous impacts in several areas of mathematics: superficially through direct applications of the main theorems, but more deeply because of the techniques which have been invented to deal with related analytical and geometrical challenges. In this lecture I will review the basic concepts, the related existence theory of solutions of the Plateau problem, and what is known about their regularity. I will also touch upon several fundamental open problems which still defy our understanding. 

Talk Chair: William Minicozzi



September 25, 2020
9:00 am - 10:30 am
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