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abstract10.html
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<!DOCTYPE html>
<html lang="en">
<head>
<title>Bridgeland stability seminar</title>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<style>
* {
box-sizing: border-box;
}
body {
font-family: Arial, Helvetica, sans-serif;
}
/* Style the header */
header {
padding: 30px;
text-align: center;
font-size: 30px;
color: black;
}
/* Create two columns/boxes that floats next to each other */
nav {
float: left;
width: 30%;
/* height: 300px; /* only for demonstration, should be removed */
background: #ccc;
background-color: white;
padding: 20px;
}
/* Style the list inside the menu */
nav ul {
list-style-type: none;
padding: 0;
}
article {
float: left;
padding: 20px;
width: 60%;
background-color: #f1f1f1;
/*height: 300px; /* only for demonstration, should be removed */
}
/* Clear floats after the columns */
section::after {
content: "";
display: table;
clear: both;
}
/* Responsive layout - makes the two columns/boxes stack on top of each other instead of next to each other, on small screens */
@media (max-width: 600px) {
nav, article {
width: 100%;
height: auto;
}
}
</style>
</head>
<body>
<header>
<h2>Bridgeland stability seminar</h2>
</header>
<section>
<nav>
</nav>
<article>
<h1>The main theorem</h1>
Aim: prove Theorem 1.3 in <a href = "https://arxiv.org/abs/1203.4613"> Bayer-Macrì's paper</a>.
<ul>
<li>State Theorem 1.3 and describe in a few words the plan of the proof.</li>
<li>Briefly recall the notion of twisted Gieseker stability. In this case, mention the existence of a
projective coarse moduli space with "nice" properties as stated in Remark 5.3 (a).</li>
<li>State Theorem 7.3 and explain the isomorphism of stalks (11) induced by the associsted Fourier-Mukai transform. Use (11) to conclude the
first part of Theorem 1.3.</li>
<li>Prove Corollary 7.5 and the ampleness as in page 27 of Bayer-Macrì's paper.</li>
</ul>
<a href = "https://www.youtube.com/watch?v=fZXhJjO9nLA">Video of the talk</a>
</article>
</section>
</body>
</html>