Variation in families of Riemann surfaces and Hodge structures
Given a (continuous) family of some kind of objects, a first measure of its "variation", or complexity, is given by the minimal number of parameters needed to describe all elements in the family. However, in some cases it is useful to have finer notions of "variation", for example to distinguish between different one-parametric families.
In the talk I will consider the case of compact Riemann surfaces and how their associated Hodge structures can be used to define a notion of "Hodge variation". I will also discuss some results about the existence (or not) of families with "maximal Hodge variation" in certain situations.
Referent/Referentin
PD Dr. Victor Gonzalez-Alonso, LUH
Veranstalter
Fakultät für Mathematik und Physik
Termin
02. Juni 202616:30 Uhr - 18:00 Uhr
Kontakt
Herr Prof. Dr. Ulrich DerenthalInstitut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511 762 4478
derenthal@math.uni-hannover.de
Ort
WelfenschlossGeb.: 1101
Raum: B 302
Hörsaal
Welfengarten 1
30167 Hannover