Shellable tilings on simplicial complexes

Jean-Yves Welschinger (Institut Camille Jordan, Université Lyon 1)

10-Mar-2022, 15:00-16:00 (2 years ago)

Abstract: I will introduce a notion of shellable tilings on finite simplicial complexes, prove their existence after finitely many stellar subdivisions and discuss their relations with discrete Morse theory and h-vectors. Every shelled tiling computes the (co)homology of the complex via two spectral sequences. As a consequence, I deduce the existence of piecewise-linear pinched handle decompositions for all closed triangulated manifolds.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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