Zariski Topology Talk Invitation
An Easy Introduction to Zariski Topology's Applications in Algebraic Geometry.
Hi Quantum Formalists,
I recently covered Hausdorff spaces in our ongoing ‘Abstract Mathematics 101 Bootcamp’. During the session, I briefly mentioned that every metric space is Hausdorff, implying that non-Hausdorff spaces cannot be metric spaces. As a reminder, a metric space is a space where the notion of distance is well-defined, meaning that non-Hausdorff spaces cannot be metrizable.
Some of you in the class understandably wondered how spaces where distances cannot be defined could be useful. This question leads directly to our next topic: the Zariski topology. Although non-Hausdorff, the Zariski topology is central to the foundations of modern algebraic geometry!
Initially, the talk was intended only for bootcamp participants. However, since several of the students cannot make it, we’ve decided to open up extra spots for anyone who can attend. The talk will take place at 6 PM UK time this coming Friday, August 30. You can find the registration link below. The session will be recorded and made available on the bootcamp’s YouTube playlist.
Talk registration form: https://forms.gle/zLBdSP3SAna8wA65A.
Motivation for the Quantum Crowd
As we move into the era of post-quantum cryptography (PQC), the principles of algebraic geometry, influenced heavily by the Zariski topology, become increasingly relevant. PQC relies on mathematical problems that are difficult for quantum computers to solve, many of which are rooted in algebraic structures, such as isogeny-based cryptosystems. The study of these systems often involves advanced algebraic geometry, where the Zariski topology helps in understanding the structure of algebraic varieties and morphisms between them.
Looking forward to seeing you there!
Many thanks,
Bambordé
