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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

5 votes
0 answers
357 views

Research Problem combining Algebraic Geometry and QFT

A student who specialises in algebraic geometry has contacted me to ask if they could collaborate with me on some problem which relates mathematical physics and algebraic geometry. I think his idea i …
Hollis Williams's user avatar
5 votes
1 answer
383 views

Articles of Casnati on algebraic varieties

I am attempting to track down online copies of the following two algebraic geometry articles. Is there some repository where these might be found? If necessary I could use the first few pages of each …
Hollis Williams's user avatar
3 votes

What is an Oper?

For reviews, one can try the articles of Frenkel and Teschner. In the physics context, a fairly recent article which uses opers is this one, where Gaiotto and Witten define an oper for $G = \text{SU}( …
Hollis Williams's user avatar
3 votes

How to explain to an engineer what algebraic geometry is?

I would just say that very roughly speaking it's a subject where you are doing geometry and thinking about geometry, but you write about it formally like it is algebra and you use algebra (which can b …
3 votes
1 answer
348 views

Coulomb branch varieties and symplectic singularities

I was recently looking at the survey article of Fu on symplectic resolutions which has a number of open questions and conjectures at the end. (I think one of these was existence of a classification o …
Hollis Williams's user avatar