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<div class="v1v1pre">Sayın Matematikçiler,</div>
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<div class="v1v1pre"><strong>27 Şubat 2024 Salı günü öğleyin saat 12:00'</strong>da detayları aşağıda belirtilmiş olan <strong>FGC-Yüksek Yapılar Semineri</strong> olacaktır.</div>
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<div class="v1v1pre">İyi çalışmalar,</div>
<div class="v1v1pre">K. İlhan İkeda</div>
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<div class="v1v1pre"><span style="font-family: 'andale mono', monospace;">Dear friends,</span><br /><br /><span style="font-family: 'andale mono', monospace;">On <strong>February 27, 2024 Tuesday at 12:00 Istanbul local time (17:00 Singapore local time)</strong>, Meng-Chwan Tan from National University of Singapore will be the speaker of Feza Gursey Center for Physics and </span><br /><span style="font-family: 'andale mono', monospace;">Mathematics Higher Structure Research Group Seminars.</span><br /><br /><span style="font-family: 'andale mono', monospace;">The details of Meng-Chwan's seminar talk are as follows: </span></div>
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<div class="v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Speaker:</strong> Meng-Chwan Tan (National University of Singapore)</span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Date:</strong> February 27, 2024, Tuesday</span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Time:</strong> 12:00 Istanbul local time (17:00 Singapore local time)</span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Title:</strong> <em>Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification</em></span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Abstract:</strong> </span><span style="font-family: 'andale mono', monospace; font-size: 10pt;"><span style="color: #000000;"><span style="background: #ffffff;">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.</span></span><span style="color: #000000;"> </span></span></div>
<div class="v1v1pre"><br /><span style="font-family: 'andale mono', monospace;"><strong>Zoom link details:</strong> </span><br /><span style="font-family: 'andale mono', monospace;">(As usual the zoom link will be active 15 minutes before the seminar time.)</span><br /><br />
<div><span style="font-family: arial, sans-serif;">Topic: Feza Gürsey Semineri<br />Time: 27 Şub 2024 11:45 İstanbul<br />Join Zoom Meeting:<br /></span><a href="https://us02web.zoom.us/j/89250262628?pwd=b1Nkamw2REhaVkloU09WU1VIaC9Ddz09" target="_blank" rel="noopener noreferrer">https://us02web.zoom.us/j/89250262628?pwd=b1Nkamw2REhaVkloU09WU1VIaC9Ddz09</a><span style="font-family: arial, sans-serif;"><br />Meeting ID: 892 5026 2628<br />Passcode: 521946</span></div>
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<span style="font-family: 'andale mono', monospace;">Best Regards,</span><br /><span style="font-family: 'andale mono', monospace;">Ilhan </span><br /><br /><span style="font-family: 'andale mono', monospace;">Organized by Feza Gürsey Center for Physics and Mathematics </span><br /><span style="font-family: 'andale mono', monospace;">Supported by Bilim Akademisi - The Science Academy</span></div>
<p><img src="cid:170843883065d4b52e65c49143363745@bogazici.edu.tr" width="100" height="100" /><img src="cid:170843883065d4b52e660f4802942008@bogazici.edu.tr" width="271" height="113" /></p>
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