The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Geometry Seminar

20.12.2023, 16:00, Sofia time

ICMS-Sofia, Room 403 and via Zoom

Valuations of Higher Rank (II)

Andrei Benguş-Lasnier – IMI-BAS

I will talk about valuations not necessarily of rank 1 and give the algebraic basics of valuation theory. Such valuations can present some supplementary pathological behaviour compared to the rank 1 situation, however they can still be seen as generalizations of multiplicities or orders of vanishing. Indeed one can embed any valuation into a spherically complete ring which will be a Hahn series ring.