Seminars
Abstract:
In this expository talk, we describe the dynamics of holomorphic rational maps defined on the Riemann sphere and narrate a result concerning the normality of the family of iterates of the map and the equidistribution of inverse images of points. We then generalise the same to the setting of holomorphic correspondences, explaining our way and motivation from the study of maps to that of correspondences.
All are cordially invited to the seminar.
Abstract:
If a holomorphic map f: C→D of compact Riemann surfaces has no ramification points, then the induced map of their fundamental group is injective.
So for the surjectivity of the fundamental group of the induced map, it is necessary to ramify.. But being ramified alone does not imply surjectivity. Those maps where the induced map has the surjectivity of the fundamental group are called genuinely ramified. In this talk, we will show many equivalent conditions for genuine ramification. It is shown that the genuine ramification is equivalent to:
Abstract:
The different ways that a rope can be knotted has been an important area of study, both from applied and theoretical points of view. The mathematics tools that are used to study knots begin with simple combinatorial ideas and progress to deep mathematical theories. In this talk we will introduce knot theory and talk about some of its basic invariants. There are no prerequisites for this talk and it should be accessible to everyone.
All are cordially invited to the seminar.
Venue: Room 303, Samgatha, Nila campus
Advances in Omics have transformed our ability to interrogate biological systems at unprecedented resolution, requiring robust integration of diverse high-dimensional datasets. My research bridges single-cell analysis, transcriptomics, genomics, and high-throughput sequencing pipelines to uncover novel biological insights. This integrative expertise extends to Radiomics, applying AI-driven analytics to medical imaging, and Pathomics, enabling computational evaluation of histopathology images.
Replacement therapy using protein-based drugs can sometimes lead to the development of anti-drug antibodies, including neutralizing antibodies. This is particularly true for patients with hemophilia A, an X-linked bleeding disorder caused by insufficient levels of functional coagulation factor VIII (FVIII).
