SMS scnews item created by John Enyang at Mon 26 Mar 2012 1439
Type: Seminar
Distribution: World
Expiry: 31 Mar 2012
Calendar1: 30 Mar 2012 1205-1255
CalLoc1: Carslaw 175
Auth: enyang@penyang.pc (assumed)

# Jacobian ideal: syzygies and Hodge theory

### Dimca

#### Friday March 30, 12:05--12:55pm, Carslaw 175

###### Speaker:

Alexandru Dimca (University of Nice)

###### Title:

Jacobian ideal: syzygies and Hodge theory

###### Abstract

If $$f$$ is a homogeneous polynomial defining a smooth projective hypersurface $$V$$, then it is known that the partial derivatives of $$f$$ form a regular sequence, hence there are no nontrivial syzygies. When the hypersurface $$V$$ has isolated singularities, one can give lower bounds for the degrees of no nontrivial syzygies and relate them to some nonzero Betti numbers.

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After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

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