GL OH - Shared screen with speaker view
bezrukav
35:08
is there anything for an nonprojective curve?
Dennis Gaitsgory
35:20
He’ll say
David Yang
42:02
is this essentially the same as the 2d CFT - 3d TFT correspondence?
Nick Rozenblyum
42:22
yes
Pavel Safronov
42:30
A quick physicsy comment: chiral algebras we consider arise as observables in a chiral 2d CFT. This is not a real theory, but it has an anomaly captured by a 3d TFT. Sam is discussing that 3d TFT.
Dennis Gaitsgory
43:56
Ah, maybe we’ll ask for more details re David’s and Pavel’s comments
Pavel Safronov
51:25
conformal blocks is a pointed vector space. In chiral WZW conformal blocks are Gamma(Bun_G, L)^* and the pointing is “evaluate the section at the trivial bundle”. This is the boundary condition Sam mentioned (it goes in a slightly different direction, more like triv -> Z)
Dennis Gaitsgory
51:41
Hopefully, somebody will later comment on the words “compactified on a circle” and “line operator”
Tony Feng
52:20
Basic question: how are we computing the “dimension” of these manifolds, e.g. why is the punctured disk 1-dimensional
Dennis Gaitsgory
52:51
He replaces D^* by S^1
Pavel Safronov
53:49
one can say it’s the degree of Poincare duality: on H^*_{dR}(D^*) it has degree 1 and on H^*_{dR}(Sigma) it has degree 2
Tony Feng
54:24
was X-x of dimension 1 or 2?
Dennis Gaitsgory
54:44
X-x is a 2-manifold w/bdry
Pavel Safronov
54:47
it’s something which has relative Poincare duality; so it’s a manifold with boundary whose boundary is D^*
David Yang
01:07:34
renormalization question: is Z_{Y,A}(D_x^circ) literally CDO-mod^fact or some renormalized version?
Alexander Braverman
01:07:46
Renormalized
Alexander Braverman
01:08:06
I mean if Y is a stack
bezrukav
01:40:17
but no G-symmetry?
Dennis Gaitsgory
01:40:34
Apparently!
Alexander Braverman
01:40:56
No, no G-symmetry (its mirror dual has G-symmetry)
Davide Gaiotto
01:41:08
T[G^\vee]^* = T[G]
Dennis Gaitsgory
01:41:50
What is *?
Dennis Gaitsgory
01:41:57
Ah, *!