| Date: | September 7, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Jintao Deng, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type |
|
| Date: | September 14, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Jintao Deng, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type II |
|
| Date: | September 21, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Xin Ma, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type III |
|
| Date: | October 5, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Xin Ma, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type IV |
|
| Date: | October 19, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Volodia Nekrashevych, Texas A&M University |
| Title: | Topological full groups |
|
| Date: | October 26, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Xin Ma, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type V |
|
| Date: | November 2, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Constantine Medynets, United States Naval Academy |
| Title: | Reconstruction of Orbits of Cantor Systems from Full Groups |
| Abstract: | In this talk we prove that the topological structure of
orbits of a Cantor dynamical system, satisfying some mild technical
conditions, is completely determined by its full group. Namely, we
will show that two Cantor systems (X1, G1) and (X2, G2) are orbit
equivalent if and only if their full groups are isomorphic as abstract
groups. Furthermore, any isomorphism between full groups is generated
by a homeomorphism of the underlying spaces. This result is a
topological analog of the well-known Dye theorem established
originally for ergodic measure-preserving actions. |
|
| Date: | November 16, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Jintao Deng, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type VI |
|
| Date: | December 7, 2018 |
| Time: | 2:00pm |
| Location: | BLOC 506A |
| Speaker: | Jintao Deng, Texas A&M University |
| Title: | Topological full groups of one-sided shifts of finite type VII |
|
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