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--- blog:2023-05-30 [2023/05/30 22:03] – created pzhou
+++ blog:2023-05-30 [2023/06/25 15:53] (current) – external edit 127.0.0.1
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 ===== talking with Ben Elias =====
-It is very useful to consider singular Soergel module
+==== Singular Soergel Bimodule ====
+It is very useful to consider singular Soergel module.
+Question: is crossing the same as merge then split?
+What is $x_1, x_2$? Consider $Fl(0,1,2)$, the complete flag in $\C^2$
+==== 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
+==== 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.
+$$ Z \into YJM \into H_{fin} $$