Mini Course: Practical Machine Learning for Polymer Chemistry

A mini course on the application of machine learning in polymer chemistry

Professor Rong Tong is Associate Professor in Chemical Engineering at Virginia Tech 

5 lectures over 5 weeks.  October 16 to November 13 (Friday afternoons)

TSVP Talk: "Symmetries of Knots and Khovanov's Homology" by Kristen Hendricks

TSVP Talk
Language: English (no interpretation).
Target audience: General audience / everyone at OIST and beyond.
Freely accessible to all OIST members and guests without registration (also via Zoom).

TSVP Talk: "Numerically Verified Proofs in Geometry and Beyond" by Daniel Platt

TSVP Talk
Language: English (no interpretation).
Target audience: General audience / everyone at OIST and beyond.
Freely accessible to all OIST members and guests without registration (also via Zoom).

Mini-Workshop on Gauge Theory and Low-Dimensional Topology

The OIST Mini-Workshop on Gauge Theory and Low-Dimensional Topology is a three-day research meeting bringing together researchers working in gauge theory and low-dimensional topology.

The workshop is held as part of the OIST program New Frontiers in Gauge Theory, Topology, and Physics.

Coffee Hour at the Visiting Program

"Visiting Program Coffee Hour": informal discussions and getting to know each other, in the Visiting Program (TSVP) area in Lab 5 EF03

Workshop on "Gauge Theory and Mathematical Physics"

This workshop is part of TSVP Thematic Program “New Frontiers in Gauge Theory, Topology, and Physics” (TP26GT) at Okinawa Institute of Science and Technology.

TSVP Talk: Why “Science education and public engagement” – and why at OIST? - by Liat Ben David

TSVP Talk
Language: English (no interpretation).
Target audience: General audience / everyone at OIST and beyond.
Freely accessible to all OIST members and guests without registration (also via Zoom).

Coffee Hour at the Visiting Program

"Visiting Program Coffee Hour": informal discussions and getting to know each other, in the Visiting Program (TSVP) area in Lab 5 EF03

[Seminar] "The Obstruction of Orientability of Real Monopole Floer Homology" by Jin Miyazawa

Title: The Obstruction of Orientability of Real Monopole Floer Homology

Abstract: The Real Seiberg-Witten theory is one of a stong tool in knot theory and surface knot theory. For example, that can detect exotic P^2-knot and Kang-Park-Taniguchi proved that any non trivial cable of figure eight knot is not slice using Real Seiberg-Witten theory. This theory is also provide interesting phenomena in index theory, since Real Seiberg-Witten theory can be seen as a "non-linear version" of Atiya's Real K-theory. For example, there is an obstruction to orient moduli space of Real Seiberg-Witten eqations on closed 4-manifolds. Recently, Bonciocat obtained a obstruction to lift the real Heegaard Floer homology from mod 2 coefficient to Z-coefficient. In this talk, we give a canonical way to obtain Z- coefficient real monopole Floer homology of double branced cover of a link in homology S^3 in the case when the obstruction vanishes. We also proved that the Bonciocat's obstruction is also obstract Z-coefficient in real monopole, however the proof is different. This is joint work with Jiakai Li.

[Seminar] "Signs in real monopole Floer homology" by Jiakai Li

Title: Signs in real monopole Floer homology

Abstract: 

The computation of the 3-dimensional framed real Seiberg–Witten invariant of the branched double cover of a knot K is instrumental in Miyazawa's construction of exotic P^2-knots. This invariant, known as Miyazawa's degree invariant deg(K), is the Euler characteristic χ(HMR) of framed real monopole Floer homology (HMR).  A priori deg(K) is defined only up to an overall sign, since the real Dirac operator has no complex orientation. Worse, signs associated to distinct real spin^c structures are not comparable. Resolving the latter issue is essential for developing computational techniques for real Seiberg--WItten invariants.

I will explain how to fix the sign of the 3-dimensional count, in other words, define an absolute mod-two grading, via a mod-two index-theoretic correction term. This yields a total Euler characteristic \tilde{χ} that sums over all real spin^c structures, the analogue of \hat{χ} in real Heegaard Floer homology (HFR). Recent work of Srivastava provides the motivating results: an absolute mod-two grading in \hat{HFR} and the evaluation of \hat{χ} in terms of the Alexander polynomial at \sqrt{-1}. This is joint work with Ciprian Manolescu.