Dr. Kunal Dutta will give a Skype talk on 8th October at 2.30 pm in
Ramanujan hall. He is a faculty candidate.
A file with the title and abstract of his talk is attached
Time:
4:00pm-5:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Speaker: Dr. Amit Kumar
Department of Mathematics
IIT Madras
Date and Time: Tuesday, 09/10/2018, 4:00 pm -- 5:00 pm
Venue: Ramanujan Hall
Title: Approximations related to (k_1,k_2)-runs
Abstract: See Attachment.
Time:
5:00pm-6:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
CACAAG seminar.
Speaker: Aneek Maiti.
Date and Time: Tuesday, 09/10/2018, 5-6pm
Venue: Ramanujan Hall.
Title: Free resolution of a finitely generated graded module and Hilbert function.
Abstract: Let M be a finitely generated graded module over a polynomial ring of a field. Then we can define a function corresponding to that module which is called "Hilbert Function". Now in my lecture I will tell you how to compute that function for such a module, with examples of course. I will also introduce "Betti numbers" and will show how these things are connected to each other.
Time:
11:30am-12:30pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Speaker: Dr Vaibhav,
Date and Time: Wed 12 Oct from 11:30 am-12:30pm.
Venue: Ramanujan Hall, talk via Skype.
Title and Abstract: TBA.
Time:
3:00pm-4:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Speaker: Prof. Alexander Volfovsky
Department of Statistical Sciences
Duke University
Date and Time: Thursday, 11/10/2018, 3:00 pm -- 4:00 pm
Venue: Ramanujan Hall
Title: Design of experiments for networks with interference
Abstract: Randomized experiments have long been considered to be a gold standard for causal inference. The classical analysis of randomized experiments was developed under simplifying assumptions such as homogeneous treatment effects and no treatment interference leading to theoretical guarantees about the estimators of causal effects. In modern settings where experiments are commonly run on online networks (such as Facebook) or when studying naturally networked phenomena (such as vaccine efficacy) standard randomization schemes do not exhibit the same theoretical properties. To address these issues we develop a randomization scheme that is able to take into account violations of the no interference and no homophily assumptions. Under this scheme, we demonstrate the existence of unbiased estimators with bounded variance. We also provide a simplified and much more computationally tractable randomized design which leads to asymptotically consistent estimators of direct treatment effects under both dense and sparse network regimes.
Time:
4:00pm-5:00pm
Location:
Room No. 215, Department of Mathematics
Description:
Title: Bloch Wave Homogenization of Almost Periodic Operators
Speaker: Vivek Tewary, PhD student, Department of Mathematics, IIT Bombay,
Time: 4 p.m.- 5p.m., 11-10-18, Thursday.
Venue: Room 215, Department of Mathematics
Abstract: Bloch wave homogenization is a spectral method for obtaining
effective coefficients for periodically heterogeneous media. This method
hinges on the direct integral decomposition of periodic operators, which
is not available in a suitable form for almost periodic operators. In
particular, the notion of Bloch eigenvalues and eigenvectors does not
exist for almost periodic operators. However, we are able to recover the
homogenization result in this case, by employing a sequence of periodic
approximations to the almost periodic operator.
Time:
4:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
PDE & Numerical Analysis Seminar
Date and Time: 12th October 2018, at 4PM
Venue: Ramanujan Hall, Mathematics Department.
Speaker: Samala Rathan, VNIT, Nagpur.
Title: "High-resolution shock capturing high-order WENO schemes for hyperbolic conservation laws"
Abstract of the seminar:
"In this talk, we present a class of new higher order WENO spatial approximation
schemes to solve the hyperbolic conservation laws along with the use of total
variation diminishing (TVD)/strong stability preserving Runge-Kutta (SSPRK)
temporial derivative approximation techniques. The objective of these developments
aim for the improvements, in obtaining higher resolution and efficiency of the
solution which retains the desired order of accuracy in smooth regions and in the
presence of critical points. These improvements have been achieved by mainly
focusing on the construction of new smoothness indicators which plays a key role in
the spatial derivative approximation of flux function via the nonlinear weights in WENO
algorithm. With these new measurements, higher-order WENO schemes viz fifth and
seventh-order WENO schemes have been constructed and subsequently imposed a
sufficient condition on the parameters in the weight functions which recovers the
optimal order for smooth regions of solution that includes the critical points.
Numerical results show that these new schemes achieve optimal-order of accuracy.
These schemes also show the advantage of resolving the sharper results for shock
waves, contact discontinuities and the regions that contain high-frequency waves."