Dynamics, Fluctuations, and Entanglement in Quantum Materials and Many-Body Systems

Dynamics, Fluctuations, and Entanglement in Quantum Materials and Many-Body Systems

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.

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).

Ryudai-OIST Joint Symposium

Ryudai-OIST Joint Symposium

This symposium brings together researchers from the University of the Ryukyus School of Medicine and OIST to share their research and explore opportunities for scientific exchange.
By fostering interactions across institutions and disciplines, the event aims to strengthen connections, encourage collaboration, and promote the development of new research partnerships. All researchers and students from the University of the Ryukyus and OIST are welcome to participate, and attendees are invited to present their work during the poster session.

[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.

Falling Walls Lab Okinawa 2026

The Falling Walls Lab is an interdisciplinary format to showcase the next generation of top researchers developed and hosted annually by the Falling Walls Foundation in Berlin in November. In 3–minute talks, outstanding talents and innovative thinkers share their research projects, business models and social initiatives with an interdisciplinary audience and jury. Academic institutions worldwide are invited to host their own Falling Walls Lab and to send their winner/s to the Falling Walls Lab Finale in Berlin.

Public Lecture: A World From a Sheet of Paper by Tadashi Tokieda

Public Lecture: A world from a sheet of paper

Open to all interested in the topic!
OISTにて開催される  Tadashi Tokieda 氏による公開講演に、ぜひご参加ください。