# Cubical Pachner moves and the Hauptvermutung for cubulations

## Karim Adiprasito, Hebrew University/IAS

## ORIGINALLY scheduled for Jan 27, 2015

POSTPONED UNTIL Mar 3, 2015

Pachner proved that any two PL homeomorphic simplicial manifolds
are related by a sequence of rather simple moves, called Pachner
moves.
Motivated by finite element methods and geometric topology, Thurston,
Habegger
and many others considered the question under which conditions two
cubulations
$X$, $Y$ of a manifold $M$ are equivalent under Pachner moves. I will
discuss the solution
to this problem, and the interesting relation to Pontryagin—Thom constructions.