Martin Sera, Kyoto University of Advanced Science: On mixed Segre numbers
Översikt
- Datum:Startar 3 March 2026, 11:00Slutar 3 March 2026, 12:00
- Plats:MV:L14, Chalmers tvärgata 3
- Språk:Engelska
Abstrakt finns enbart på engelska: This presentation begins with an introduction to mixed Segre numbers of pairs of ideals which were introduced by R. Gassler. These numbers are a generalisation of B. Teissier's mixed multiplicities defined for pairs of 𝔪-primary ideals. Thereby, R. Gassler follows an approach from a work of him and T. Gaffney in which they define Segre number of an ideal (which is not necessarily 𝔪-primary).
After this introduction, we report on that mixed Segre numbers are also given as the Lelong numbers of a current given by Monge–Ampère products in terms of the generators of the ideals. This result is from an ongoing project joint with Richard Lärkäng and Elizabeth Wulcan.
- Universitetslektor*, Algebra och geometri, Matematiska vetenskaper
