Mathematical Sciences Research Institute

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1. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 04:52 PM PST
2. Geometry and Analysis of Surface Group Representations: Cubic Differentials and Limits of Convex $RP^2$ Strucures under Neck Pinches

Location: MSRI: Simons Auditorium
Speakers: John Loftin

Labourie and I independently proved that on a closed oriented surface $S$ of genus $g$ at least 2, a convex real projective structure is equivalent to a pair $(\Sigma,U)$, where $\Sigma$ is a conformal structure and $U$ is a holomorphic cubic differential. It is then natural to allow $\Sigma$ to go to the boundary of the moduli space of Riemann surfaces.  The bundle of cubic differentials then extends over the boundary to form the bundle of regular cubic differentials, which is an orbifold vector bundle over the Deligne-Mumford compactification $\bar{\mathcal M}_g$ of moduli space.

We define regular convex real projective structures corresponding to the regular cubic differentials over nodal Riemann surfaces and define a topology on these structures. Our topology is an extension of Harvey's use of the Chabauty topology to analyze $\bar {\mathcal M}_g$ via limits of Fuchsian groups.  The main theorem is that the total space of the bundle of regular cubic differentials over $\bar {\mathcal M}_g$ is homeomorphic to the space of regular real projective structures.  The proof involves several analytic inputs: a recent result of Benoist-Hulin on the convergence of some invariant tensors on families of convex domains converging in the Gromov-Hausdorff sense, a recent uniqueness theorem of Dumas-Wolf for certain complete conformal metrics, and some old techniques of the author to specify the real projective end of a surface in terms of the residue of a regular cubic differential.

Updated on Feb 27, 2015 03:35 PM PST
1. DMS Research Seminar: Flows on irreducible parabolic geometries

Location: MSRI: Simons Auditorium
Speakers: Karin Melnick (University of Maryland)

Irreducible parabolic geometries are a family of geometric structures including conformal semi-Riemannian structures, projective structures, and many more.  Automorphisms of these structures need not be linearizable around a fixed point, in contrast to semi-Riemannian isometries or affine transformations of a connection.  I will present rigidity theorems for structures of this type admitting special nonlinearizable flows by automorphisms.  A consequence will be that in many cases, if the geometry is not flat---that is, not locally equivalent to the homogeneous model---then automorphisms are determined by their 1-jet at a point.

Updated on Feb 27, 2015 12:13 PM PST
2. Minicourse

Location: MSRI: Simons Auditorium
Speakers: Michael Kapovich (University of California, Davis)

This is a series of talks on my work with Bernhard Leeb and Joan Porti, aiming to extend the theory of geometrically finite discrete groups from rank 1 symmetric spaces to higher rank. I will start by reviewing various equivalent definitions of convex-cocompact subgroups of rank 1 Lie groups. Then I review basic geometry of higher rank symmetric spaces and their ideal boundaries. After that, I will define several notions of geometric finiteness in higher rank which generalize (some of) the rank one definitions and prove at least some of the implications between them.  My lectures will be continued by the ones by Bernhard Leeb, who will prove further equivalences of different definitions.

Updated on Feb 23, 2015 10:37 AM PST
3. Women in Science

Location: MSRI: Simons Auditorium
Speakers: Shulamit Kahn (Boston University)
Updated on Feb 05, 2015 12:10 PM PST
4. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 20, 2015 05:23 PM PST
5. GAAHD Research Seminar

Location: MSRI: Baker Board Room
Speakers: Nimish Shah (Ohio State University)
Updated on Feb 17, 2015 03:58 PM PST
6. 3-Manifold Seminar

Location: 939 Evans Hall
Speakers: Ian Agol (University of California, Berkeley)
The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:

- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial

Created on Jan 29, 2015 09:22 AM PST
7. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 04:53 PM PST
8. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Updated on Feb 27, 2015 03:35 PM PST
9. DMS Research Seminar: Counting, Randomness, and Renormalization

Location: MSRI: Baker Board Room
Speakers: Jayadev Athreya (University of Illinois at Urbana-Champaign)

We describe several uses of the SL(2, R) action on moduli spaces of translation surfaces, in particular how to use ergodic theorems and recurrence results for the SL(2, R) action to understand counting and ergodicity properties for linear flows. Most of this will be based on work of Veech, Masur, Eskin-Masur, Forni, and Zorich. The talk will be elementary and assume very little background.

Updated on Feb 27, 2015 12:04 PM PST
10. Minicourse

Location: MSRI: Baker Board Room
Speakers: Michael Kapovich (University of California, Davis)

This is a series of talks on my work with Bernhard Leeb and Joan Porti, aiming to extend the theory of geometrically finite discrete groups from rank 1 symmetric spaces to higher rank. I will start by reviewing various equivalent definitions of convex-cocompact subgroups of rank 1 Lie groups. Then I review basic geometry of higher rank symmetric spaces and their ideal boundaries. After that, I will define several notions of geometric finiteness in higher rank which generalize (some of) the rank one definitions and prove at least some of the implications between them.  My lectures will be continued by the ones by Bernhard Leeb, who will prove further equivalences of different definitions.

Created on Feb 23, 2015 10:40 AM PST
11. DMS Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 17, 2015 04:02 PM PST
12. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 20, 2015 05:37 PM PST
13. GAAHD Research Seminar

Speakers: Richard Sharp (University of Warwick)
Updated on Feb 20, 2015 09:44 AM PST
14. 3-Manifold Seminar

Location: 939 Evans Hall
Speakers: Ian Agol (University of California, Berkeley)
The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:

- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial

Created on Jan 29, 2015 09:23 AM PST
15. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 04:55 PM PST
16. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Created on Jan 22, 2015 04:31 PM PST
17. Minicourse

Location: MSRI: Baker Board Room
Speakers: Michael Kapovich (University of California, Davis)

This is a series of talks on my work with Bernhard Leeb and Joan Porti, aiming to extend the theory of geometrically finite discrete groups from rank 1 symmetric spaces to higher rank. I will start by reviewing various equivalent definitions of convex-cocompact subgroups of rank 1 Lie groups. Then I review basic geometry of higher rank symmetric spaces and their ideal boundaries. After that, I will define several notions of geometric finiteness in higher rank which generalize (some of) the rank one definitions and prove at least some of the implications between them.  My lectures will be continued by the ones by Bernhard Leeb, who will prove further equivalences of different definitions.

Created on Feb 23, 2015 10:43 AM PST
18. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 20, 2015 05:40 PM PST
19. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:46 AM PST
20. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 04:57 PM PST
21. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Created on Jan 22, 2015 04:33 PM PST
22. DMS Research Seminar

Location: MSRI: Simons Auditorium
Updated on Jan 28, 2015 02:18 PM PST
23. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 23, 2015 11:01 AM PST
24. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:47 AM PST
25. 3-Manifold Seminar

Location: 939 Evans Hall
Speakers: Ian Agol (University of California, Berkeley)
The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:

- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial

Created on Jan 29, 2015 09:25 AM PST
26. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 04:59 PM PST
27. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Speakers: Qiongling Li (Rice University), Andrew Sanders (University of Illinois at Chicago)
Created on Jan 22, 2015 04:34 PM PST
28. DMS Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
Updated on Jan 28, 2015 02:18 PM PST
29. DMS Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 01:51 PM PST
30. GAAHD Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 01:53 PM PST
31. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 23, 2015 11:02 AM PST
32. MSRI Evans Talk

Location: 60 Evans Hall
Speakers: Maryam Mirzakhani (Stanford University)
Updated on Jan 15, 2015 09:40 AM PST
33. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:47 AM PST
34. 3-Manifold Seminar

Location: 939 Evans Hall
Speakers: Ian Agol (University of California, Berkeley)
The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:

- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial

Created on Jan 29, 2015 09:26 AM PST
35. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 05:01 PM PST
36. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Speakers: Qiongling Li (Rice University), Andrew Sanders (University of Illinois at Chicago)
Created on Jan 22, 2015 04:35 PM PST
37. DMS Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
Updated on Jan 28, 2015 02:17 PM PST
38. DMS Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 01:54 PM PST
39. GAAHD Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 01:55 PM PST
40. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 23, 2015 11:04 AM PST
41. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:49 AM PST
42. 3-Manifold Seminar

Location: 939 Evans Hall
Speakers: Ian Agol (University of California, Berkeley)
The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:

- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial

Created on Jan 29, 2015 09:28 AM PST
43. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 05:03 PM PST
44. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Speakers: Qiongling Li (Rice University), Andrew Sanders (University of Illinois at Chicago)
Created on Jan 22, 2015 04:36 PM PST
45. DMS Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
Updated on Jan 28, 2015 02:16 PM PST
46. DMS Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 01:57 PM PST
47. GAAHD Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 02:02 PM PST
48. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 23, 2015 11:06 AM PST
49. MSRI Evans Talk

Location: 60 Evans Hall
Speakers: Hee Oh (Yale University)
Updated on Jan 15, 2015 09:42 AM PST
50. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:49 AM PST
51. 3-Manifold Seminar

Location: 939 Evans Hall
Speakers: Ian Agol (University of California, Berkeley)
The topic this semester is representations of 3-manifold groups into SL_2 C. Topics will include:

- character varieties and curves of characters
- ideal points, R-tree actions, tree actions associated to ideal points of curves
- associating incompressible surfaces to tree actions and measured laminations to R-tree actions
- volumes of representations and Chern-Simons invariant
- Dehn invariants, the Bloch group, and extensions
- volume rigidity, via simplicial volume and the barycenter map
- the A-polynomial

Created on Jan 29, 2015 09:29 AM PST
52. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 05:03 PM PST
53. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Speakers: Qiongling Li (Rice University), Andrew Sanders (University of Illinois at Chicago)
Created on Jan 22, 2015 04:38 PM PST
54. DMS Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
Updated on Jan 28, 2015 02:15 PM PST
55. DMS Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 02:04 PM PST
56. GAAHD Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 02:05 PM PST
57. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 23, 2015 11:07 AM PST
58. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:50 AM PST
59. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 05:05 PM PST
60. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Speakers: Qiongling Li (Rice University), Andrew Sanders (University of Illinois at Chicago)
Created on Jan 22, 2015 04:39 PM PST
61. DMS Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
Updated on Jan 28, 2015 02:15 PM PST
62. DMS Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 02:06 PM PST
63. GAAHD Postdoc Seminar

Location: MSRI: Simons Auditorium
Speakers: Guillaume Dreyer (University of Notre Dame), Nicolas de Saxce (Université de Paris XIII (Paris-Nord))
Created on Jan 28, 2015 02:07 PM PST
64. Lorentzian geometric structures seminar

Location: MSRI: Baker Board Room
Created on Feb 23, 2015 11:08 AM PST
65. GAAHD Research Seminar

Location: MSRI: Simons Auditorium
Updated on Feb 20, 2015 09:52 AM PST
66. Technical Seminar

Location: MSRI: Baker Board Room
Created on Feb 24, 2015 05:06 PM PST
67. Geometry and Analysis of Surface Group Representations

Location: MSRI: Baker Board Room
Speakers: Qiongling Li (Rice University), Andrew Sanders (University of Illinois at Chicago)
Created on Jan 22, 2015 04:40 PM PST
68. DMS Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
Updated on Jan 28, 2015 02:14 PM PST

seminar
1. Seminar3-Manifold Seminar

Created on Jan 29, 2015 09:21 AM PST
2. SeminarGAAHD Research Seminar: Asymptotic properties of the Brownian motion on the universal covers of compact negatively curved manifolds

Updated on Feb 27, 2015 11:53 AM PST
3. SeminarMSRI Evans Talk: Moduli of Geometric Structures

Updated on Feb 18, 2015 08:58 AM PST
4. SeminarLorentzian geometric structures seminar: Anosov Structure on Margulis Space Time II

Updated on Feb 27, 2015 11:59 AM PST
5. SeminarGAAHD Postdoc Seminar: Hausdorff dimension of divergent trajectories under the diagonal geodesic flow on product space of hyperbolic spaces

Updated on Feb 27, 2015 12:18 PM PST
6. SeminarDMS Postdoc Seminar: MCG actions on character varieties

Updated on Feb 27, 2015 02:05 PM PST
7. SeminarGAAHD Postdoc Seminar: Generalizations of Furstenberg's x2 x3 theorem

Updated on Feb 20, 2015 09:13 AM PST
8. SeminarDMS Postdoc Seminar: Splittings, suspension flows, and polynomials for free-by-cyclic groups

Updated on Feb 20, 2015 09:36 AM PST
9. SeminarMinicourse: Geometric finiteness in higher rank symmetric spaces

Updated on Feb 23, 2015 03:36 PM PST
10. SeminarDMS Research Seminar: Eigenvalues and entropy of a Hitchin representation.

Updated on Feb 20, 2015 09:15 AM PST
11. SeminarGeometry and Analysis of Surface Group Representations: Meromorphic quadratic differentials and harmonic maps to graphs

Updated on Feb 20, 2015 09:38 AM PST
12. SeminarGAAHD Research Seminar: Quantum unique ergodicity on locally symmetric spaces

Updated on Feb 20, 2015 09:58 AM PST
13. SeminarLorentzian geometric structures seminar: Anosov Structure on Margulis Space Time

Updated on Feb 20, 2015 11:24 AM PST
14. SeminarGAAHD Postdoc Seminar: Pointwise equidistribution for one-parameter diagonal group action on $X=SL_n(\mathbb R)/SL_n(\mathbb Z)$

Updated on Feb 13, 2015 11:12 AM PST
15. SeminarDMS Postdoc Seminar: Algebraic structure and topology of homeomorphism groups

Updated on Feb 13, 2015 11:10 AM PST
16. SeminarMinicourse: Geometric finiteness in higher rank symmetric spaces

Updated on Feb 13, 2015 02:08 PM PST
17. SeminarDMS Research Seminar: A differential geometric view on the moduli space of curves

Updated on Feb 13, 2015 11:17 AM PST
18. Seminar Lorentzian geometric structures seminar: A dynamical proof that Margulis spacetimes are tame II

Created on Feb 13, 2015 11:00 AM PST
19. SeminarGeometry and Analysis of Surface Group Representations: Positivity of Frenet curves

Updated on Feb 13, 2015 02:05 PM PST
20. Seminar3-Manifold Seminar

Created on Jan 29, 2015 09:19 AM PST
21. SeminarGAAHD Research Seminar: Borelian subgroups of simple Lie groups

Updated on Feb 13, 2015 11:24 AM PST
22. SeminarGAAHD Research Seminar: Limit sets, Dimension and Distance sets

Updated on Feb 13, 2015 02:04 PM PST
23. SeminarGAAHD Postdoc Seminar: Almost-Fuchsian space and entropy of minimal surfaces

Updated on Feb 05, 2015 11:45 AM PST
24. SeminarDMS Postdoc Seminar: Quantum ergodicity and averaging operators on the sphere

Updated on Feb 05, 2015 04:21 PM PST
25. SeminarDMS Research Seminar: The moduli space of convex real projective structures

Updated on Feb 05, 2015 01:54 PM PST
26. SeminarGeometry and Analysis of Surface Group Representations: Higher Teichmueller space for SL(\infty,R)

Updated on Feb 05, 2015 04:07 PM PST
27. Seminar3-Manifold Seminar

Created on Jan 29, 2015 09:18 AM PST
28. SeminarGAAHD Research Seminar: Continuity of Lyapunov exponents for random matrix products

Updated on Feb 05, 2015 11:54 AM PST
29. SeminarMSRI Evans Talk: Dynamics and Integer Points on the Sphere

Updated on Jan 23, 2015 10:38 AM PST
30. SeminarLorentzian Geometric Structures: A dynamical proof that Margulis spacetimes are tame

Updated on Feb 06, 2015 06:19 PM PST
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.