+91-674-249-4082

Submitted by sde on 15 January, 2016 - 20:35

Date/Time:

Monday, February 1, 2016 - 11:30 to 12:30

Venue:

M3

Speaker:

Sutanu Roy

Affiliation:

Carleton University, Canada

Title:

Faithful actions of locally compact quantum groups on classical spaces

A rigidity conjecture by Goswami states that existence of a smooth and faithful action of a compact quantum group G on a compact connected Riemannian manifold M forces G to be compact group. In particular, whenever the action is isometric, or G is finite dimensional, Goswami and Joardar have proved that the conjecture is true. The first step in the investigation of a non-compact version of this rigidity conjecture demands a correct notion of faithful actions of locally compact quantum groups on classical spaces. In this talk, we show that bicrossed product construction for locally compact groups provides a large class of examples of non-Kac locally compact quantum groups acting faithfully and ergodically on classical (non-compact) spaces. However, none of these actions can be isometric, leading to the aforementioned rigidity conjecture may hold in the non-compact case as well. This is based on the joint work in progress with Debashish Goswami.

A rigidity conjecture by Goswami states that existence of a smooth and faithful action of a compact quantum group G on a compact connected Riemannian manifold M forces G to be compact group. In particular, whenever the action is isometric, or G is finite dimensional, Goswami and Joardar have proved that the conjecture is true. The first step in the investigation of a non-compact version of this rigidity conjecture demands a correct notion of faithful actions of locally compact quantum groups on classical spaces. In this talk, we show that bicrossed product construction for locally compact groups provides a large class of examples of non-Kac locally compact quantum groups acting faithfully and ergodically on classical (non-compact) spaces. However, none of these actions can be isometric, leading to the aforementioned rigidity conjecture may hold in the non-compact case as well. This is based on the joint work in progress with Debashish Goswami. - See more at: http://sms.niser.ac.in/news/seminar-57#sthash.QhHWSEq6.dpuf

A rigidity conjecture by Goswami states that existence of a smooth and faithful action of a compact quantum group G on a compact connected Riemannian manifold M forces G to be compact group. In particular, whenever the action is isometric, or G is finite dimensional, Goswami and Joardar have proved that the conjecture is true. The first step in the investigation of a non-compact version of this rigidity conjecture demands a correct notion of faithful actions of locally compact quantum groups on classical spaces. In this talk, we show that bicrossed product construction for locally compact groups provides a large class of examples of non-Kac locally compact quantum groups acting faithfully and ergodically on classical (non-compact) spaces. However, none of these actions can be isometric, leading to the aforementioned rigidity conjecture may hold in the non-compact case as well. This is based on the joint work in progress with Debashish Goswami. - See more at: http://sms.niser.ac.in/news/seminar-57#sthash.QhHWSEq6.dpuf

A rigidity conjecture by Goswami states that existence of a smooth and faithful action of a compact quantum group G on a compact connected Riemannian manifold M forces G to be compact group. In particular, whenever the action is isometric, or G is finite dimensional, Goswami and Joardar have proved that the conjecture is true. The first step in the investigation of a non-compact version of this rigidity conjecture demands a correct notion of faithful actions of locally compact quantum groups on classical spaces. In this talk, we show that bicrossed product construction for locally compact groups provides a large class of examples of non-Kac locally compact quantum groups acting faithfully and ergodically on classical (non-compact) spaces. However, none of these actions can be isometric, leading to the aforementioned rigidity conjecture may hold in the non-compact case as well. This is based on the joint work in progress with Debashish Goswami. - See more at: http://sms.niser.ac.in/news/seminar-57#sthash.QhHWSEq6.dpuf

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

Corporate Site - This is a contributing Drupal Theme

Design by WeebPal.

Design by WeebPal.