Leírás
Dear Colleague,
It is our pleasure to invite you to the next talk in our Online Number Theory Seminar, on
10 May (Friday) at 17:00 CET (8:00 PDT, 11:00 EDT, 15:00 GMT, 18:00 Israel Daylight Time, 20:30 Indian Standard Time; already Saturday 2:00 AEDT, 4:00 NZDT)
Speaker: U. Zannier (Scuola Normale Superiore, Pisa)
Title: Bounded generation in linear groups and exponential parametrizations
Abstract: In fairly recent joint work with Corvaja, Rapinchuk, Ren, we applied results from Diophantine $S$-unit theory to problems of "bounded generation" in linear groups: this property is a strong form of finite generation and is relevant for several issues in the setting. Focusing on groups containing only semi-simple elements we could give a simple essentially complete description. More recently, in further joint work also with Demeio, we proved the natural expectation that sets boundedly generated by semi-simple elements (in linear groups over number fields) are "sparse". Actually, this holds for all sets obtained by exponential parametrizations. As a special consequence, this gives back the previous results with a different approach and additional precision and generality.
Meeting link: https://unideb.webex.com/unideb/j.php?MTID=mea11df6a3426fc59e0dd7403eff20ce6
Meeting number: 2732 132 4504
Please, share the link with colleagues who are interested, tell us if you have a proposal for a talk, and
also inform us in case you are not willing to receive announcements of these events. The email address of the
seminar is ntrg@science.unideb.hu . We keep the program updated at https://ntrg.math.unideb.hu/seminar.html ,
where (upon the agreement of the Speaker), you can also find the video and the slides of the talk.
We are looking forward to meeting you, with kind regards,
the organizers (K.Győry, Á.Pintér, L.Hajdu, A.Bérczes, Sz.Tengely, I.Pink, Debrecen Number Theory Research Group , University of Debrecen)