blog:2023-05-30
Differences
This shows you the differences between two versions of the page.
Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
blog:2023-05-30 [2023/05/30 22:22] – pzhou | blog:2023-05-30 [2023/06/25 15:53] (current) – external edit 127.0.0.1 | ||
---|---|---|---|
Line 14: | Line 14: | ||
==== taking trace ==== | ==== taking trace ==== | ||
In a 2-category, there are more directions to make a line segment into a circle. There are the monoidal direction, the 1-categorical direction. And, there are the omp | In a 2-category, there are more directions to make a line segment into a circle. There are the monoidal direction, the 1-categorical direction. And, there are the omp | ||
+ | |||
+ | ==== a non-trivial test of geometry ==== | ||
+ | Consider 4 strands, full twists. (Closed) Bott-Samuelson variety, stusts to utustu, where s t u are the $s_1, \cdots, s_3$. The two movies gives equivalent morphisms of Bott-Samelson module, which is equivalent to total merge, and total split. Not true if you start from other positions. Can you use geometry to explain why? | ||
+ | |||
+ | ==== Goresky-Negut-Rasmussen ==== | ||
+ | Consider the finite Hecke algebra. We have the commutative algebra YJM, and the center Z. | ||
+ | $$ Z \into YJM \into H_{fin} $$ | ||
+ | |||
+ | There are categorification of finite Hecke algebra, into finite Hecke category. | ||
+ | $$ Z \into YJM \into H_{fin} $$ | ||
blog/2023-05-30.1685485320.txt.gz · Last modified: 2023/06/25 15:53 (external edit)