The Mathematics Virtual Seminar meets every Wednesday at 2pm. The talk is followed by virtual tea and conversation.
Each talk is aimed at a broad audience of mathematicians, mathematical cryptographers, and theoretical computer scientists.
SCHEDULE FOR AUTUMN 2020
14th October 2020: Stacey Law (Cambridge)
Title: Sylow branching coefficients for symmetric groups
The relationship between the representation theory of a finite group and that of its Sylow subgroups is a key area of interest. For example, recent results of Malle–Navarro and Navarro–Tiep–Vallejo have shown that important structural properties of a finite group G are controlled by the permutation character. We introduce so-called Sylow branching coefficients to describe multiplicities associated with these induced characters, and discuss some properties and applications in the case where G is a symmetric group.
21st October 2020: James McKee (RHUL)
Title: The set of Cassels Heights
The Cassels height function is used in the study of cyclotomic integers. Cassels introduce it in 1969 when settling a conjecture of Robinson. The set of all Cassels heights has a curious structure, which we explore. This is joint work with Byeong-Kweon Oh (Seoul) and Chris Smyth (Edinburgh).
4th November 2020: Yuri Santos Rego (Magdeburg)
11th November 2020: Gene Kopp (Bristol)
18th November 2020: Kamilla Rekvenyi (Imperial, tbc)
2nd December 2020, Nick Winstone (RHUL)
A list of previous seminars can be found here.