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SUMMARY:Lorenzo Riva (CMSA\, Harvard University)
DTSTART:20251111T160000Z
DTEND:20251111T173000Z
DTSTAMP:20260422T175933Z
UID:tandg/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/35/">Z
 igzags and free adjunctions</a>\nby Lorenzo Riva (CMSA\, Harvard Universit
 y) as part of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbstract
 \nThe cobordism hypothesis tells us that the process of freely adding adjo
 ints to the $k$-morphisms of a symmetric monoidal $(\\infty\,n)$-category 
 can be roughly described as follows: treat one such $k$-morphism as an $n$
 -framed $k$-dimensional cube and change the framing appropriately to obtai
 n its left/right adjoint. At the very least\, this description is correct 
 if we start with the the commutative monoid generated by a single object. 
 But what happens with more complicated examples? Motivated by work of Daws
 on-Paré-Pronk\, we explicitly construct the functor that freely adds righ
 t adjoints to the morphisms of an infinity-category\; we also extend the c
 onstruction to arbitrary dimensions and speculate on what its universal pr
 operty should be. This is based on joint work with Martina Rovelli.\n
LOCATION:https://researchseminars.org/talk/tandg/35/
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