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SUMMARY:Ambar Sengupta and Dion Mann (University of Connecticut)
DTSTART:20260731T153000Z
DTEND:20260731T170000Z
DTSTAMP:20260803T235803Z
UID:CompMath/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CompMath/34/
 ">Diffeology: A gentle introduction</a>\nby Ambar Sengupta and Dion Mann (
 University of Connecticut) as part of Relatorium seminar\n\n\nAbstract\nDi
 ffeological spaces\, introduced in 1985  by Iglesias-Zemmour\,  are genera
 l spaces on which one can do differential calculus. The notion is very wea
 k\, permitting even a structureless set to be a diffeological space but\, 
 more meaningfully\, making it possible to do differential calculus on spac
 es of smooth functions. In this talk\, we will discuss the basic definitio
 ns and examples in the subject.\n\nSpeakers' bios: \nAmbar Sengupta studie
 d mathematics at Presidency College\, Calcutta\, and then obtained his PhD
  in Mathematics at Cornell University in 1990. After a post-doctoral appoi
 ntment at Princeton University\, he was on the faculty at LSU 1991-2016\, 
 and since then has been at the University of Connecticut. Sengupta's mathe
 matical work has spanned a wide range\, with much of the inspiration comin
 g from mathematical physics. His recent interests include nonstandard anal
 ysis\, classical analysis\, and category-theoretic geometry.\n\nDion Mann 
 is currently studying mathematics through the Ph.D. program at the Univers
 ity of Connecticut. Previously\, he obtained a bachelor’s in physics and
  mathematics at the University of Colorado\, Boulder. His mathematical int
 erests broadly include mathematical physics and differential topology.\n\n
 \nModerator's bio: \nIrfan Alam is an autistic mathematician\, currently w
 orking as a postdoctoral fellow in the Department of Computer and Mathemat
 ical Sciences at University of Toronto Scarborough. He completed the BMath
  and MMath programs at the Indian Statistical Institute (2009-2014)\, befo
 re joining Louisiana State University as a graduate student\, where he obt
 ained his PhD in Mathematics as well as MA in Philosophy in 2021. Irfan’
 s mathematical focus is on applications of nonstandard analysis to standar
 d mathematics\, especially in probability theory\, topology\, and lately i
 n the foundations of machine learning. He also works on the philosophy of 
 mathematical practice\, with particular interests in the history of infini
 tesimals and in epistemic injustices in mathematics caused by various soci
 o-cultural norms.\n
LOCATION:https://researchseminars.org/talk/CompMath/34/
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