<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
</head>
<body>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
We would like to invite you to a talk in the Aalto AGC (Algebra, Geometry and Combinatorics) Seminar.</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
The talk is on</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Mon 15.6. </b>at<b> 14:15-15:00</b></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
in</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>M3 (M234), Otakaari 1.</b></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
The speaker is</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Anthony Mäkelä (University of Gothenburg)</b></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
giving the talk</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Moduli of $P$-critical connections via moment maps and analytic GIT</b></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b><br>
</b></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<b>Abstract:</b> The Kobayashi--Hitchin correspondence relates stable holomorphic vector bundles to special connections, and can be viewed as a prototype for a broader principle: extremal objects in differential geometry should correspond to stable objects
in algebraic geometry. Motivated by Bridgeland stability conditions, recent work has introduced polynomial curvature equations for Hermitian vector bundles, including (Z)-critical and (P)-critical connections, which generalize the Hermite--Einstein equation
and admit moment-map interpretations. In this talk, I will describe a construction of moduli spaces for (P)-critical connections using local deformation theory and analytic geometric invariant theory. The construction produces finite-dimensional analytic GIT
quotient charts around a (P)-critical connection and glues them into a Hausdorff complex space carrying a natural Weil--Petersson-type geometry.</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
The webpage of the seminar is at</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<a href="https://math.aalto.fi/en/research/discrete/seminars/agc/" id="OWAde45e39b-e3a9-b2f4-d335-54a08d409ba9" class="OWAAutoLink" title="https://math.aalto.fi/en/research/discrete/seminars/agc/">math.aalto.fi/en/research/discrete/seminars/agc/</a></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
and we have a mailing list at</div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<a href="https://list.aalto.fi/mailman/listinfo/agc-math-aalto">https://list.aalto.fi/mailman/listinfo/agc-math-aalto</a></div>
<div class="elementToProof" style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div style="font-family: Aptos, "Aptos_EmbeddedFont", "Aptos_MSFontService", Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
</body>
</html>