Title of Seminar: Algebraic Geometry Preprint Seminar
Title of Talk: An equivariant Gabber presentation lemma
Speaker: Anand Sawant, TIFR, Mumbai
Date: September 30, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: Gabber's presentation lemma is an important tool in motivic algebraic topology over a field. For instance, it is used in a crucial way to explicitly write down resolutions of certain Nisnevich sheaves with nice $\mathbb A^1$-invariance properties. In this talk, I will present an equivariant version of Gabber's presentation lemma in the setting of schemes over a field of characteristic different from 2 endowed with an action of the finite group of order 2. The talk will be based on the preprint https://arxiv.org/abs/2310.08125 by Tom Bachmann.
Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: "Geodesic flows" for iterated rational maps
Speaker: Jacob (Yankl) Mazor
Date: September 30, 2024
Time: 15:00:00 Hours
Venue: A-369
Abstract: There are a number of similarities between the dynamics of Kleinian groups on the sphere and the dynamics of iterating rational maps. But is there an analog to hyperbolic 3-manifolds on the iterated maps side? I do not know, but in the mid 1990s M. Lyubich and Y. Minsky constructed spaces admitting flows which are analogous to the geodesic flow on the unit tangent bundles of hyperbolic manifolds. I will describe what these "hyperbolic 3-laminations" are, and how they are analogous to geodesic flow for Kleinian groups. I will then give some of the main ideas and outline the technicalities in their construction. Lastly, if time permits, I will show how Lyubich and Minsky adapted the ideas in the proof of Mostow's rigidity theorem to give an alternate proof of a theorem of W. Thurston's. This talk is based primarily on: M. Lyubich and Y. Minsky. "Laminations in holomorphic dynamics." Journal of Differential Geometry (1997)
Title of Talk: An equivariant Gabber presentation lemma
Speaker: Anand Sawant, TIFR, Mumbai
Date: September 30, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: Gabber's presentation lemma is an important tool in motivic algebraic topology over a field. For instance, it is used in a crucial way to explicitly write down resolutions of certain Nisnevich sheaves with nice $\mathbb A^1$-invariance properties. In this talk, I will present an equivariant version of Gabber's presentation lemma in the setting of schemes over a field of characteristic different from 2 endowed with an action of the finite group of order 2. The talk will be based on the preprint https://arxiv.org/abs/2310.08125 by Tom Bachmann.
Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: "Geodesic flows" for iterated rational maps
Speaker: Jacob (Yankl) Mazor
Date: September 30, 2024
Time: 15:00:00 Hours
Venue: A-369
Abstract: There are a number of similarities between the dynamics of Kleinian groups on the sphere and the dynamics of iterating rational maps. But is there an analog to hyperbolic 3-manifolds on the iterated maps side? I do not know, but in the mid 1990s M. Lyubich and Y. Minsky constructed spaces admitting flows which are analogous to the geodesic flow on the unit tangent bundles of hyperbolic manifolds. I will describe what these "hyperbolic 3-laminations" are, and how they are analogous to geodesic flow for Kleinian groups. I will then give some of the main ideas and outline the technicalities in their construction. Lastly, if time permits, I will show how Lyubich and Minsky adapted the ideas in the proof of Mostow's rigidity theorem to give an alternate proof of a theorem of W. Thurston's. This talk is based primarily on: M. Lyubich and Y. Minsky. "Laminations in holomorphic dynamics." Journal of Differential Geometry (1997)