Abstract: The study of the association between holomorphic vector bundles on a compact Riemann surface (equivalently, a smooth algebraic curve) and representations of its fundamental group dates back to the pioneering work of A. Weil in the 1930s. Weil’s seminal article, where he classifies vector bundles that arise from representations, inspired Narasimhan and Seshadri in their quest to construct moduli spaces of vector bundles on compact Riemann surfaces.

We look at the problem of Land Records for farm lands- maintaining an accurate match between actual land use and its record of ownership. For the first, there is now an option to time-consuming land surveys -viz. segmentation of satellite or drone images. For the second, we must look at how the government maintains land records, which is as a number of land parcels or polygons in imaginary space in GIS. The question of matching the two then becomes polygon fitting to segmented data.

Abstract: In this lecture we discuss an intuitive and geometric approach to the Brower degree and its basic properties. Focusing on geometric ideas in two dimensions, we explore the proof of several of the well-known results. We also discuss numerical experiments for finding solutions of a BVP for system of ODEs. These experiments are based on geometric aspects of the Poincare-Miranda Theorem.

Prof. Subramaniam D. Rajan, a professor of Civil, Aerospace, and Mechanical Engineering from Arizona State University, will deliver a talk on the topic -  'Structural Composites: Challenges and Opportunities' on 07th Jan'25 (Tuesday) at 2:30 PM in Room no: 150, C06 building.

There are many interesting day-to-day examples of how good information design elicits positive social outcomes. Examples include information design at traffic lights, in ride-hailing apps, in online ratings of e-commerce products and services, and in fund-raising drives. We will discuss the modeling and the simple analyses behind some of these, and will demonstrate how mathematics can positively impact social systems.

This talk will critically examine the intricate dynamics of missionary education for poor, 'untouchable caste' girls in colonial Kerala. The analysis sheds light on how British Protestant missionaries shaped educational experiences that reinforced existing caste and gender hierarchies. Far from being a straightforward narrative of upliftment, missionary education often confined these marginalised girls to roles centered around domestic labour, moral discipline, and religious conformity, while simultaneously exploiting their labour to sustain the missionary enterprise.

Kadambini is conducting a comprehensive menstrual health and reproductive rights awareness program in collaboration with Maanushi Foundation. This programme was planned as part of the women’s day celebrations on 8 March 2024 but as the resource person had some medical emergency then it was postponed and is scheduled to be conducted on 19 April 2024 from 3.00 – 4.30pm at A01-202.

A statistical model typically can be defined as a collection of probability measures on some outcome space. All, except perhaps one of these measures are ‘wrong’. Traditionally, the selection of a model is done based on certain fit criteria (via some loss function such as least squares, maximum likelihood etc.), that is, the distance from the data to the model. Usually, these include AIC, AICC, BIC, DIC, HQC among others. ‘Focused Information Criterion’ is comparatively a new model selection approach, which is getting popularized nowadays.