[Turkmath:6382] FGC-Higher Structures Seminars::Meng-Chwan Tan[February 27, 2024 at 12:00 Istanbul time]

[kazimilhan.ikeda]

Sayın Matematikçiler,

27 Şubat 2024 Salı günü öğleyin saat 12:00'da detayları aşağıda 
belirtilmiş olan FGC-Yüksek Yapılar Semineri olacaktır.

İyi çalışmalar,
K. İlhan İkeda

-------------

Dear friends,

On February 27, 2024 Tuesday at 12:00 Istanbul local time (17:00 
Singapore local time), Meng-Chwan Tan from National University of 
Singapore will be the speaker of Feza Gursey Center for Physics and
Mathematics Higher Structure Research Group Seminars.

The details of Meng-Chwan's seminar talk are as follows:

Speaker: Meng-Chwan Tan (National University of Singapore)

Date: February 27, 2024, Tuesday

Time: 12:00 Istanbul local time (17:00 Singapore local time)

Title: _Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, 
a Geometric Langlands Correspondence, and Categorification_

Abstract: We revisit Vafa-Witten theory in the more general setting 
whereby the underlying moduli space is not that of instantons, but of 
the full Vafa-Witten equations. We physically derive (i) a novel 
Vafa-Witten four-manifold invariant associated with this moduli space, 
(ii) their relation to Gromov-Witten invariants, (iii) a novel 
Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a 
novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and 
generalization of a conjecture by Abouzaid-Manolescu in [1] about the 
hypercohomology of a perverse sheaf of vanishing cycles, (vi) a 
Langlands duality of these invariants, Floer homologies and 
hypercohomology, and (vii) a quantum geometric Langlands correspondence 
with purely imaginary parameter that specializes to the classical 
correspondence in the zero-coupling limit, where Higgs bundles feature 
in (ii), (iv), (vi) and (vii). We also explain how these invariants and 
homologies will be categorified in the process, and discuss their higher 
categorification. In essence, we will relate differential and 
enumerative geometry, topology and geometric representation theory in 
mathematics, via a maximally-supersymmetric topological quantum field 
theory with electric-magnetic duality in physics.

Zoom link details:
(As usual the zoom link will be active 15 minutes before the seminar 
time.)

Topic: Feza Gürsey Semineri
Time: 27 Şub 2024 11:45 İstanbul
Join Zoom Meeting:
https://us02web.zoom.us/j/89250262628?pwd=b1Nkamw2REhaVkloU09WU1VIaC9Ddz09
Meeting ID: 892 5026 2628
Passcode: 521946
   Best Regards,
Ilhan

Organized by Feza Gürsey Center for Physics and Mathematics
Supported by Bilim Akademisi - The Science Academy
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