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SUMMARY:Jean-Simon Pacaud Lemay (Macquarie University)
DTSTART:20250923T220000Z
DTEND:20250923T233000Z
DTSTAMP:20260407T214207Z
UID:tandg/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/32/">T
 he world of differential categories</a>\nby Jean-Simon Pacaud Lemay (Macqu
 arie University) as part of Topology and Geometry Seminar (Texas\, Kansas)
 \n\n\nAbstract\nDifferential categories use category theory to provide the
  foundations of differential calculus.  In this talk\, I will give you gui
 ded tour of the world of differential categories. We will see (1) differen
 tial categories\, which give the algebraic foundations of differentiation\
 ; Cartesian differential categories\, which give the foundations of multiv
 ariable differential calculus\; and (3) tangent categories\, which give th
 e foundations of differential geometry. In particular we will look at the 
 map of differential categories and see how these three concepts relate to 
 each other. Moreover\, the theory of differential categories has been succ
 essful in formalising various important concepts related to differentiatio
 n. In particular\, this talk will set the table for next week’s talk\, w
 here Chiara Sava will explain how differential categories capture differen
 tial graded algebras.\n
LOCATION:https://researchseminars.org/talk/tandg/32/
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