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SUMMARY:Sean McCurdy (Carnegie Mellon University)
DTSTART:20210315T160000Z
DTEND:20210315T165000Z
DTSTAMP:20260423T024753Z
UID:anpdews/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/anpdews/54/"
 >The Analysts' Traveling Salesman Problem in Banach spaces</a>\nby Sean Mc
 Curdy (Carnegie Mellon University) as part of HA-GMT-PDE Seminar\n\n\nAbst
 ract\nThis talk discusses recent work (joint with Matthew Badger\, UCONN) 
 on generalizations of the Analysts' Traveling Salesman Theorem to uniforml
 y smooth and uniformly convex Banach spaces (e.g.\, l_p spaces).  In 1990\
 , motivated by problems in Singular Integral Operators\, Peter Jones posed
  and solved his celebrated Analysts' Traveling Salesman Problem: namely\, 
 to characterize all subsets of rectifiable curves in the plane.  Since the
 n\, many authors have contributed\, proving similar results in Euclidean s
 paces\, Hilbert Spaces\, Carnot groups\, for 1-rectifiable measures\, etc.
   This talk will give a broad overview of some of these results and their 
 core ideas.  In the end\, we will discuss the challenges in Banach spaces 
 and what generalizations hold there.  This talk will include lots of pictu
 res and examples.\n
LOCATION:https://researchseminars.org/talk/anpdews/54/
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