- Time:
- 9:30am-11:00am
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 11:30am-1:00pm
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 3:30pm-5:00pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Commutative Algebra Seminar

Title: Some Questions on Hilbert-Samuel functions.

Time & Venue: 3:30 - 5 p.m., Room 215

Dates: Monday, 28th January, 2018.

- Time:
- 9:30am-11:00am
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 3:30pm-4:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Geometry Seminar

Speaker: Radhika Gupta (Technion, Israel).

Title: `Cannon-Thurston maps for CAT(0) groups with isolated flats'.

Time: 15:30 - 16:30, Tuesday, January 29, 2019.

Venue: Ramanujan Hall.

Abstract:

Consider a hyperbolic 3-manifold, 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 3-manifold 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 2-sphere. Mj showed that a Cannon-Thurston 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.

- Time:
- 9:30am-11:00am
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 11:00am-12:30pm
- Location:
- Room 215, Department of Mathematics
- Description:
- Commutative Algebra Seminar

Speaker: Dilip Patil.

Time & Date: 11:00 a.m. - 12:30 p.m., Wednesday, 30th Jan 2019.

Venue: Room 215.

Title: Some Questions on Hilbert-Samuel functions.

- Time:
- 11:30am-1:00pm
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 2:00pm-3:30pm
- Location:
- Room No. 216 Department of Mathematics
- Description:
- Lecture Series

Speaker: Dipendra Prasad.

Time: 2pm (-3:30pm), Wednesday, 30 January 2019.

Venue: Room 216.

Title: An introduction to Lie groups, Symmetric spaces, and Shimura

varieties based on examples".

Abstract: I will give an introductory course of 3-4 lectures on the topics

mentioned in the title to an audience without any prior knowledge of the

subject which is a meeting ground for Differential geometry, Algebraic

geometry, and Number theory.

- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium

Speaker: Aditya Karnataki, Beijing International Center for Mathematical

Research

Date: Wednesday, 30 January 2019.

Time: 4:00-5:00pm.

Venue: Ramanujan Hall.

Title - Finiteness of cohomology of arithmetic families of $(\varphi,

\Gamma)$-modules.

Abstract - We will explain constructions of Robba rings and $(\varphi,

\Gamma)-modules of p-adic Hodge theory. We will describe new proofs of

some results on finiteness of cohomology of these modules, and indicate

their applications to the theory of $p$-adic families of automorphic

forms. This is part of ongoing work with Eugen Hellmann and Ruochuan Liu.

- Time:
- 9:30am-11:00am
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 11:30am-1:00pm
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 3:30pm-5:00pm
- Location:
- Room No. 215 Department of Mathematics
- Description:
- Commutative Algebra Seminar

Title: Some Questions on Hilbert-Samuel functions.

Time & Venue: 3:30 - 5 p.m., Room 215

Dates: Thursday, 31th January, 2018.

- Time:
- 3:45pm-5:15pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- K-Theory Seminar

Speaker : Sudarshan Gurjar.

Title : Topolgical vector bundles.

Time : 3:45 pm - 5:15 pm.

Date : Thursday 31st Jan 2019.

Venue : Ramanujan Hall.

- Time:
- 9:30am-11:00am
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorics Seminar

Speaker : Nishad Kothari.

Time: 11 AM, Friday, 1st February.

Venue: Ramanujan Hall.

Title : Pfaffian Orientations and Conformal Minors.

Abstract: See attachment.

- Time:
- 11:30am-1:00pm
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.

Affiliation: Czech Academy of Sciences.

Mode of instruction: via videoconference.

Title of the mini-course: 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 global-in-time (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.

- Time:
- 4:30pm-5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG Seminar.

Speaker: Ramachandran Balasubramanian.

Time: 4:30-5:30 pm, Friday 1 February, 2018.

Venue: Ramanujan Hall.

Title: Zeta Functions Associated to Graphs.

Abstract: This series of talks will cover various notions of zeta

functions associated to graphs