###
Bruhat-restricted pattern avoidance

###
Alexander Woo, UC Davis

A large permutation $w$ (thought of as a sequence of numbers) is said
to avoid a smaller permutation $v$ if $w$ does not a subsequence in
the relative order given by $v$. This notion has been the subject of
a large amount of recent work, most notably around the Stanley-Wilf
conjecture (now proven) about how many such permutations there are
asymptotically. Inspired by some geometry, we introduce a
generalization of pattern avoidance, discuss some of its basic
properties, and pose some questions. This talk will be based on joint
work with Alexander Yong.