8:00am 


9:00am 
[9:30am] Prof. Eduard Feireisl, Czech Academy of Sciences
 Description:
 Name of the instructor: Prof. Eduard Feireisl.
Affiliation: Czech Academy of Sciences.
Mode of instruction: via videoconference.
Title of the minicourse: Mathematical Aspects of Euler Equations.
Venue: A1A2 hall, CDEEP, IIT Bombay.
We consider the phenomenon of oscillations in the solution families to partial differential equations. To begin, we briefly discuss the mechanisms preventing oscillations/concentrations and make a short excursion in the theory of compensated compactness. Pursuing the philosophy "everything what is not forbidden is allowed" we show that certain problems in fluid dynamics admit oscillatory solutions. This fact gives rise to two rather unexpected and in a way contradictory results: (i) many problems describing inviscid fluid motion in several space dimensions admit globalintime (weak solution); (ii) the solutions are not determined uniquely by their initial data. We examine the basic analytical tool behind these rather ground breaking results  the method of convex integration applied to problems in fluid mechanics and, in particular, to the Euler system.


10:00am 

11:00am 


12:00pm 


1:00pm 


2:00pm 


3:00pm 
[3:30pm] Radhika Gupta (Technion, Israel)
 Description:
 Geometry Seminar
Speaker: Radhika Gupta (Technion, Israel).
Title: `CannonThurston maps for CAT(0) groups with isolated flats'.
Time: 15:30  16:30, Tuesday, January 29, 2019.
Venue: Ramanujan Hall.
Abstract:
Consider a hyperbolic 3manifold, called a mapping torus, that fibers over
a circle with fiber a closed orientable surface of genus at least 2.
Cannon and Thurston showed that the inclusion map from the surface into
the 3manifold extends to a continuous, surjective map between the visual
boundaries of the respective universal covers. This gives a surjective map
from a circle to a 2sphere. Mj showed that a CannonThurston map also
exists for a hyperbolic group and its normal hyperbolic subgroups. In this
talk, we will explore what happens when we consider the mapping torus of a
surface with boundary, which is not hyperbolic but CAT(0) with isolated
flats under some conditions.


4:00pm 

5:00pm 


6:00pm 

