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Inverse Problems and Analysis

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Want to suggest a speaker? Send an email to Mahya Ghandehari or  Constanze Liaw.

Seminars will be held on Tuesdays from 1:30 pm-2:30 pm in Ewing 336. 

Information about the Courtyard Newark - University of Delaware Hotel

 

 

Dr. Apoorva Khare, Indian Institute of Science Dr. Apoorva Khare, Indian Institute of Science PRN238Title: Polymath 14: Groups with norms <br><br> Abstract: Consider the following three properties of a general group G: <br> (1) Algebra: G is abelian and torsion-free. <br> (2) Analysis: G is a metric space that admits a "norm", namely, a translation-invariant metric d(.,.) satisfying: d(1,g^n) = |n| d(1,g) for all g in G and integers n. <br> (3) Geometry: G admits a length function with "saturated" subadditivity for equal arguments: l(g^2) = 2 l(g) for all g in G. <br> While these properties may a priori seem different, in fact they turn out to be equivalent. The nontrivial implication amounts to saying that there does not exist a non-abelian group with a "norm". <br> We will discuss motivations from analysis, probability, and geometry; then the proof of the above equivalences; and finally, the logistics of how the problem was solved, via a PolyMath project that began on a blogpost of Terence Tao. <br> (Joint - as D.H.J. PolyMath - with Tobias Fritz, Siddhartha Gadgil, Pace Nielsen, Lior Silberman, and Terence Tao.)1/29/2020 7:30:00 PM1/29/2020 8:30:00 PMFalse
Dominique Guillot, University of DelawareDominique Guillot, University of DelawareEWG 336Title:TBA‌ ‌ ‌ <br><br>‌ ‌ Abstract:‌ ‌TBA‌ 2/25/2020 6:30:00 PM2/25/2020 7:30:00 PMFalse
Dr. Yemen Choi, Lancaster UniversityDr. Yemen Choi, Lancaster UniversityEWG 336Title:TBA<br></br> Abstract:3/3/2020 6:30:00 PM3/3/2020 7:30:00 PMFalse
Dr. Josh Isralowitz, SUNY at AlbanyDr. Josh Isralowitz, SUNY at AlbanyEWG 336Title:TBA<br></br> Abstract:3/17/2020 5:30:00 PM3/17/2020 6:30:00 PMFalse

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  • Department of Mathematical Sciences
  • University of Delaware
  • 501 Ewing Hall
  • Newark, DE 19716, USA
  • Phone: 302-831-2653
  • math-questions@udel.edu