Wed, January 30, 2019
Public Access Category: All |
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- 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.