I unfortunately forgot to record from the start of the talk, so this video is missing some important acknowledgements! Thanks to Sidhanth Raman for inspiring this talk, and Jordan Ellenberg for writing excellent notes ( swc-math.github.io/aws/2014/2014EllenbergNotes.pdf ) which I used heavily in preparing this talk.
@Jaylooker
7 сағат бұрын
The interest in fixed points mentioned could be motivated more. Group actions have fixed points. At least algebraically, Galois group actions are relevant when considering algebraic varieties. Algebraic varieties are by definition roots or solutions of polynomials equations. Geometric invariant theory is one way to study these group actions in relation to varieties. Note Hilbert’s Nullstellensatz relation between algebraic varieties and ideals.
@blandconstant5548
Ай бұрын
Enjoyed listening to this a lot actually, kept everything very concise and understandable. I think i might even use this in my own "work" next time i need to compute some cohomology groups
@BenSpitz
Ай бұрын
Do keep an eye out for the key magic fact I used here, "sometimes Frob* acts as q^-i as H^i"! This really is only sometimes -- in this case we used the fact that this is true for quotients by free actions (of reductive groups) of complements of hyperplane arrangements in affine space. The action of Frob* is often not even by a scalar!
@rileyburton6583
Ай бұрын
beautiful talk!
@SmithnWesson
26 күн бұрын
Nice example at 10:55
@ValidatingUsername
Ай бұрын
How many sigma is the breakpoint for black holes when considering density 😂
Пікірлер: 7