Event date:
Nov 29 2021 4:00 pm

On the Tjurina Number of Projective Plane Curves

Speaker(s)
Prof. Alexandru Dimca
Venue
Zoom/Online
Abstract
A. du Plessis and C.T.C. Wall have obtained lower and upper bounds for the Tjurina number of projective plane curves. In some cases, the curves having maximal Tjurina numbers are exactly the free curves. In the talk we will survey various new results in this area, as well as a number of open problems. The case of line arrangements is very interesting and will be given special attention. One of the open problems is a stronger form of K. Saito’s Conjecture, saying that the freeness of a line arrangement is determined by the combinatorics.

Prof. Alexandru Dimca will be talking about 'On the Tjurina number of projective plane curves' in the next John Conway Spirited Seminar on Monday November 29 2021 at 4pm PKST via zoom.

To join, please use this Zoom meeting link: https://zoom.us/j/97379855766    

About the Speaker: 

Prof. Alexandru Dimca is a distinguished mathematician in algebra, geometry and topology. He has written three important books in this field: Sheaves in Topology, Singularities and Topology of Hypersurfaces and Topics on real and complex singularities. He is currently associated with Université Nice-Sophia Antipolis, France.

About the seminar: 

Prof.  Dimca will present on the Tjurina number of projective plane curves.  In this talk, he will overview the lower and upper bounds for the Tjurina number of projective plane curves. He will survey various new results in this area, as well as a number of open problems. He will also discuss the interesting case of line arrangements. 

Please see link below for details on the entire speaker series:        

https://sites.google.com/view/conway-spirited-math-seminars/home