Semicontinuity for Families of Power Series and Applications to Singularity Invariants and Computational Algorithms
1. A general semicontinuity theorem for families of modules defined by power series.
2. We prove that the delta invariant in a family of parameterizations of reduced curve singularities is upper semicontinuous.
3. A new algorithm for standard basis computations of 0-dimensional ideals in a power series ring that provides a significant speed up when coefficient swell occurs.
Prof. Gert-Martin Greuel is our next guest in the upcoming seminar in the John Conway Spirited Seminar Series organized by the Department of Mathematics, SBASSE, LUMS. The seminar is scheduled on November 22, 2021, at 4:00 PM PKT (Monday).
To attend, please join us via Zoom meeting link: https://zoom.us/j/97379855766
About the Speaker:
Prof. Gert-Martin Greuel’s main research interests are Singularity Theory, Computer Algebra, Algebraic Geometry, Complex Analysis.
Gert-Martin Greuel was a distinguished senior professor at the University of Kaiserslautern until he retired in March 2015. As the long-standing director of the Mathematical research center Oberwolfach (MFO), he has shaped mathematics in Germany for the last decades. From 1993 on, Gert-Martin Greuel was head of the center for computational algebra at the University of Kaiserslautern. In 2002, he became director of the MFO until 2013. In 2010 he assumed the presidency of the European Research Centers on Mathematics. Since 2013, he has been a member of the “Executive Committee of the European Mathematical Society”. Together with others, Gert-Martin Greuel developed “Singular”, a computer algebra system for polynomial computations for applications in algebraic geometry, especially for the investigation of singularities. He is editor-in-chief of important journals, and he received a lot of awards for his scientific contributions. Since 2014, he has been a member of the HITS scientific advisory board.
About the seminar:
Prof. Gert-Martin Greuel will present a seminar on ‘Semicontinuity for families of power series and applications to singularity invariants and computational algorithms. In his talk, he will give an overview of semicontinuity for families of power series with applications to singularity invariants.
Please see the enclosed poster, Abstract & the seminar series link below for details: https://sites.google.com/view/conway-spirited-math-seminars/home
