Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Self-orbit Equivalences of Anosov Flows
Speaker: Anindya Chanda, TIFR, Mumbai
Date: September 9, 2024
Time: 15:00:00 Hours
Venue: A-369
Abstract: Study of Anosov Flows is a central theme in hyperbolic dynamics. These flows are extensively studied due to their rich geometric and dynamical properties. An orbit equivalence is a map which determines when two Anosov flows are `same`. In recent years, self-orbit equivalence maps of Anosov flows got much traction due to their presence in the progress of two big open problems: classifications of Anosov flows and classifications of partially hyperbolic maps on 3-manifolds. In this talk we will first introduce orbit equivalence maps and their importance. In the second part, we will discuss an example of a hyperbolic manifold whose mapping class group can be represented by self-orbit equivalence maps only. This last part is based on a recent preprint by Bin Yu: https://arxiv.org/html/2312.13177v2
Title of Seminar: Algebraic Geometry Preprint Seminar
Title of Talk: Categorical absorption of singularities
Speaker: Umesh Dubey, HRI
Date: September 9, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The idea of categorically absorbing singularities was introduced by Kuznetsov and Shinder for singular varieties as admissible subcategories of derived categories whose complement is smooth and proper. The authors have described the absorption of singularities in some special cases in terms of $\mathbb{P}^{\infty}$-objects. In this special case, it was referred to as a categorical ordinary double point. In this seminar, we will briefly overview certain sections of the pre-print (arXiv:2207.06477v5 [math.AG]) by A. Kuznetsov and E. Shinder.
Title of Talk: Self-orbit Equivalences of Anosov Flows
Speaker: Anindya Chanda, TIFR, Mumbai
Date: September 9, 2024
Time: 15:00:00 Hours
Venue: A-369
Abstract: Study of Anosov Flows is a central theme in hyperbolic dynamics. These flows are extensively studied due to their rich geometric and dynamical properties. An orbit equivalence is a map which determines when two Anosov flows are `same`. In recent years, self-orbit equivalence maps of Anosov flows got much traction due to their presence in the progress of two big open problems: classifications of Anosov flows and classifications of partially hyperbolic maps on 3-manifolds. In this talk we will first introduce orbit equivalence maps and their importance. In the second part, we will discuss an example of a hyperbolic manifold whose mapping class group can be represented by self-orbit equivalence maps only. This last part is based on a recent preprint by Bin Yu: https://arxiv.org/html/2312.13177v2
Title of Seminar: Algebraic Geometry Preprint Seminar
Title of Talk: Categorical absorption of singularities
Speaker: Umesh Dubey, HRI
Date: September 9, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The idea of categorically absorbing singularities was introduced by Kuznetsov and Shinder for singular varieties as admissible subcategories of derived categories whose complement is smooth and proper. The authors have described the absorption of singularities in some special cases in terms of $\mathbb{P}^{\infty}$-objects. In this special case, it was referred to as a categorical ordinary double point. In this seminar, we will briefly overview certain sections of the pre-print (arXiv:2207.06477v5 [math.AG]) by A. Kuznetsov and E. Shinder.