on June 23, 2006 by lieven in geometry, Comments (0)
noncommutative Fourier transform
non-commutative geometry
- Brauer’s forgotten group
- connected component coalgebra
- Galois and the Brauer group
- a noncommutative Grothendieck topology
- noncommutative geometry
- noncommutative geometry 2
- projects in noncommutative geometry
- points and lines
- more noncommutative manifolds
- the necklace Lie bialgebra
- the one quiver for GL(2,Z)
- representation spaces
- quiver representations
- moduli spaces
- cotangent bundles
- differential forms
- curvatures
- Brauer-Severi varieties
- smooth Brauer-Severis
- hyper-resolutions
- a cosmic Galois group
- double Poisson algebras
- A for aggregates
- B for bricks
- necklaces (again)
- seen this quiver?
- why nag? (2)
- why nag? (3)
- sexing up curves
- the Klein stack
- Alain Connes on everything
- noncommutative topology (1)
- a noncommutative topology 2
- noncommutative topology (3)
- noncommutative topology (4)
- non-geometry
- non-(commutative) geometry
- noncommutative Fourier transform
- noncommutative bookmarks
- noncommutative geometry : a medieval science?
At the noncommutative algebra program in MSRI 1999/2000, Mikhail Kapranov gave an intriguing talk Noncommutative neighborhoods and noncommutative Fourier transform and over the years I’ve watched the video of this talk a number of times. The first part of the talk is about his work on Noncommutative geometry based on commutator expansions and as I’ve once worked through it this part didn’t present problems. On the other hand, I’ve never understood much from the second part of the talk which claims to relate these noncommutative formal neighborhoods to noncommutative Fourier transforms. The string coffee table has a post Kapranov and Getzler on Higher Stuff linking to two recent talks by Kapranov on noncommutative Fourier transforms at the Streetfest. Marni Sheppeard made handwritten notes available. I definitely should find the time to get through them and have another go at the Kapranov-video…








No Comments
Leave a comment