Title- Nets and filters to Tychonoff theorum
Speaker- Nalin Philip Mathew (BSMS 22)
Date- 26th August 2025 (Tuesday) | 9 pm
Venue- To be announced
Abstract- We all know the notion of convergence in sequences, and the fact that most topological spaces can be fully described with help of sequences. What happens when we encounter topological spaces where sequences are not enough or can't describe the space? We will use a more generally notion of sequence called nets which will make the proof of certain theorems and correlation between object possible and easy. The correspondence between nets and filters will be explored and that the two notions are equivalent. Then finally we will prove the big result called tychonoff theorem.
Title- The algebraic world without commutativity
Speaker- Christopher Rao (BSMS 23)
Date- 26th August 2025 (Tuesday) | 9 pm
Venue- To be announced
Abstract- Many familiar results in algebra rely heavily on the assumption that multiplication is commutative. But what happens when we drop this assumption? In this talk, we'll take a look at a few instances of how algebra behaves in the non-commutative world and outline some interesting phenomena and structures that emerge when commutativity is no longer guaranteed.