Peng Zhou

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blog:2023-05-30

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blog:2023-05-30 [2023/05/30 22:22] pzhoublog:2023-05-30 [2023/06/25 15:53] (current) – external edit 127.0.0.1
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 ==== 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)