+91-674-249-4082

Submitted by sutanu on 22 October, 2018 - 15:38

Date/Time:

Friday, October 26, 2018 - 16:00 to 17:00

Venue:

LH-5

Speaker:

Parameswaran Shankaran

Affiliation:

IMSc Chennai

Title:

The geometry of the upper half-space

The parallel postulate of the Euclidean geometry says that there is exactly one straight line that is parallel to a given line l and passes through a given point P which is not on l. There are several equivalent axioms---such as the sum of the angles in a triangle equals $\pi$. We will see that there are geometries where the parallel postulate fails. One such is the geometry of the Poincaré upper half-space. We will point out some interesting features of the upper half-space.

**School of Mathematical Sciences**

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

Tel: +91-674-249-4081

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