Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2
| dc.contributor.author | Gandhi, Raj | |
| dc.contributor.supervisor | Savage, Alistair | |
| dc.contributor.supervisor | Zaynullin, Kirill | |
| dc.date.accessioned | 2021-08-23T19:18:27Z | |
| dc.date.available | 2021-08-23T19:18:27Z | |
| dc.date.issued | 2021-08-23 | en_US |
| dc.description.abstract | In this thesis, we compute minimal presentations in terms of generators and relations for the oriented cohomology rings of several semisimple linear algebraic groups of ranks 1 and 2 over algebraically closed fields of characteristic 0. The main tools we use in this thesis are the combinatorics of Coxeter groups and formal group laws, and recent results of Calm\`es, Gille, Petrov, Zainoulline, and Zhong, which relate the oriented cohomology rings of flag varieties and semisimple linear algebraic groups to the dual of the formal affine Demazure algebra. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10393/42566 | |
| dc.identifier.uri | http://dx.doi.org/10.20381/ruor-26786 | |
| dc.language.iso | en | en_US |
| dc.publisher | Université d'Ottawa / University of Ottawa | en_US |
| dc.subject | Algebraic groups | en_US |
| dc.subject | Algebraic geometry | en_US |
| dc.subject | Algebraic oriented cohomology theories | en_US |
| dc.subject | Demazure operator | en_US |
| dc.subject | Formal group law | en_US |
| dc.title | Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2 | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Sciences / Science | en_US |
| thesis.degree.level | Masters | en_US |
| thesis.degree.name | MSc | en_US |
| uottawa.department | Mathématiques et statistique / Mathematics and Statistics | en_US |
