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, *!