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Cohomology in algebra, geometry, physicsand statistics
Koszul algebras and one-dependent random 0-1 sequences: CANCELLED because of DOD
Speaker’s name:
Leonid Positselski
Speaker’s affiliation:
MI, CAS
Place:
in IM building, ground floor
Date:
Wednesday, 13. November 2019 - 11:30 to 12:30
Abstract:
Koszul algebras are a natural class of graded algebras with
quadratic relations, defined by a series of homological conditions.
To a Koszul algebra over with finite-dimensional components, one can
assign a one-dependent stochastic 0-1 sequence, which carries
information about the dimensions of the algebra's grading components.
This construction allows to show that the Hilbert series of a Koszul
algebra can be extended meromorphically to the circle of double radius.
Conjecturally, such Hilbert series are meromorphic in the whole
complex plain (and consequently, rational).
quadratic relations, defined by a series of homological conditions.
To a Koszul algebra over with finite-dimensional components, one can
assign a one-dependent stochastic 0-1 sequence, which carries
information about the dimensions of the algebra's grading components.
This construction allows to show that the Hilbert series of a Koszul
algebra can be extended meromorphically to the circle of double radius.
Conjecturally, such Hilbert series are meromorphic in the whole
complex plain (and consequently, rational).