Matematik Bölümü Semineri: Richard Gonzales (IHES - PUCP)

Yeditepe Üniversitesi Matematik Bölümü Seminerleri kapsamında bu hafta yapılacak olan seminerimizin detayları aşağıdaki gibi olup ilgilenen herkes davetlidir. 

Konuşmacı: Richard Gonzales (IHES - PUCP)

Başlık (İngilizce): Equivariant cohomology of group embeddings

Özet (İngilizce): In this talk I will describe how the symmetries of a variety (encoded via a group action) can be used to understand the geometry and topology not only of the variety itself, but also of higher structures defined on it, like vector bundles or sheaves. The study of those structures that are left invariant under the group action leads naturally to the notion of equivariant cycles and related topological invariants (e.g. Chow groups). Moreover, in many cases of interest (e.g. group embeddings or compactifications of reductive groups) these topological invariants can be read off from a suitable combinatorial object, like a graph or a fan, leading to nice combinatorial descriptions of the corresponding cohomology. In this talk I will describe how the symmetries of a variety (encoded via a group action) can be used to understand the geometry and topology not only of the variety itself, but also of higher structures defined on it, like vector bundles or sheaves. The study of those structures that are left invariant under the group action leads naturally to the notion of equivariant cycles and related topological invariants (e.g. Chow groups). Moreover, in many cases of interest (e.g. group embeddings or compactifications of reductive groups) these topological invariants can be read off from a suitable combinatorial object, like a graph or a fan, leading to nice combinatorial descriptions of the corresponding cohomology.

Tarih: 19 Eylül 2025, Cuma
Saat: 13:00  
Yer: Google Meet (*)

Liste: https://researchseminars.org/seminar/7tepemathseminars

(*) Daha sonra bu sayfada ve/veya liste adresinde ilan edilecektir.