Three Bachelor´s Degree Project presentations: Simon Vågberg, Zakarias Brounéus, Viggo Laaksoharju och Philip Åberg
- Date: 5 June 2024, 10:15–15:00
- Location: Ångström Laboratory, 4003
- Type: Course
- Lecturer: Simon Vågberg, Zakarias Brounéus, Viggo Laaksoharju och Philip Åberg
- Organiser: Matematiska instituitonen
- Contact person: Martin Herschend
Simon Vågberg, Zakarias Brounéus, Viggo Laaksoharju och Philip Åberg presents their bachelor´s degree projects. Welcome to join!
Time: 10:15-11:00
- Place: 4003
- Student: Simon Vågberg
- Title: Classical representation through the lens of positive self adjoint Hopf algebras
Abstract: Representation theory has become an important area in modern mathematics. In this presentation we will restrict ourselves to study finite dimensional representations over the complex numbers of some classical groups - mostly the symmetric groups Sn - but will do so through the use of so called positive self adjoint Hopf algebras, or PSH-algebra for short. We will define a PSH-algebra, develop some general theory surrounding them, and then apply this general theory to specific PSH-algebras constructed from objects related to representation theory.
TIme: 11:15-12:00
- Place: 4003
- Student: Zakarias Brounéus
- Title: Grassmannianer
- Abstract: see the Swedish version of the page
Time: 13:15-14:00
- Place: 4003
- Student: Viggo Laaksoharju
- Title: A guide to the étale cohomology of curves
Abstract: Étale cohomology is an important tool in modern algebraic geometry that was introduced by A. Grothendieck in an attempt to exhibit a Weil cohomology theory and ultimately to prove the Weil conjectures. One of the appealing aspects of this theory is that it provides algebro-geometric analogues to some arguments in differential topology. In this talk I will outline the fundamental constructions underlying this theory and the core arguments used in the computation of the cohomology for some selected curves.
Time: 14:15-15:00
- Place: 4003
- Student: Philip Åberg
- Title: Fourier analysis on finite groups.
Abstract: In this bachelor's thesis we discuss Fourier analysis on finite groups with the aim of reaching the famous Peter-Weyl theorem. On the road we also discuss the general theory of class functions, the character-basis of $L^2(G)_G$, and the differences between the abelian and nonabelian theory.