From Graphs to Graphite: Modelling Molecules with Graphs
Speaker: Abhilash Saha
We model certain covalently bonded hydrocarbons as planar graphs, and use elementary results on graph theory to establish possible structures of molecules from their formulas.
Can Lattice Points Approximate Irrationals?
Speaker: Abhisruta Maity
Based on the treatises of Hilbert and Erdős, we try to explore the Diophantine approximations (i.e. approximating irrational numbers by rational numbers with good accuracy) through lattice grids and affine transformations. We finally arrive at a weaker version of Dirichlet’s Approximation Theorem. By this approach, we get a glimpse of a bridge connecting geometry of a discrete sense to number theory of analytic taste.
About the Speakers
Abhilash Saha and Abhisruta Maity are both from the 21MS batch of IISER Kolkata.
Poster for the event, designed by Sohom Gupta.