-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy paths18_Gromov_Witten.html
133 lines (124 loc) · 3.57 KB
/
s18_Gromov_Witten.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN"
"http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<meta id="generator" content="jemdoc, see http://jemdoc.jaboc.net/" />
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<link rel="stylesheet" href="jemdoc.css" type="text/css" />
<link rel="shortcut icon" href="sun.ico" />
<script type="text/javascript" src="other/sparkle.js"></script>
<script src='update_info.js'></script>
<script>
window.onload = function() {
document.getElementById('footer-text').innerHTML = 'This page last updated ' +
all_files_info['/export/userswww/adebray/WWW/s18_Gromov_Witten.html']
}
</script>
<title>Gromov-Witten theory</title>
</head>
<body>
<div id="layout-content">
<div id="toptitle">
<h1>Gromov-Witten Theory</h1>
<div id="subtitle">Spring 2018 Learning Seminar</div>
</div>
<p>
<a id='hero_image'>
<img src='other/through_the_looking_glass.png' alt='The discovery of mirror symmetry' height=400px
/>
</a><br><small>
Image from Lewis Carroll's <i>Through the Looking-Glass</i>, which captures some of the strangeness of mirror
symmetry.</small>
</p>
<p>
This is the webpage for a learning seminar on Gromov-Witten theory and related topics, including the moduli space
of stable maps, the virtual fundamental class, and quantum cohomology. The seminar is organized by <a
href='index.html'>Arun Debray</a> and <a href='../jlai/'>Jonathan Lai</a>.
</p>
<p><b>Logistics:</b> we'll meet <b>Mondays</b> at <b>11:00 AM</b> in room <b>PMA 11.176</b>. In the seminar, we
hope to spend some time on the construction of the moduli space of stable maps (about 3 lectures), the virtual
fundamental class (about 3 lectures), a brief intoduction to mirror symmetry and Gromov-Witten theory for
symplectic manifolds (2-3 lectures), quantum cohomology and applications to enumerative geometry (4 lectures), and
possibly some connections to physics (1 lecture).</p>
<p><b>Lecture notes</b> for this seminar can be found <a href='lecture_notes/s18_Gromov_Witten.pdf'>here</a>.
<p><b>Schedule:</b></p>
<ul>
<li><p>
January 22, 2018: organizational meeting
</p></li>
<li><p>
January 29, 2018 (Jonathan): Stable maps and quantum cohomology <a href='#FP96'>[FP96]</a>
</p>
</li>
<li><p>
February 5, 2018 (TBD): Moduli space of stable maps?
</p>
</li>
<li><p>
February 12, 2018 (Yixian): Moduli space of stable maps?
</p>
</li>
<li><p>
February 19, 2018 (Sebastian): The virtual fundamental class?
</p>
</li>
<li><p>
February 26, 2018 (TBD): The virtual fundamental class?
</p>
</li>
<li><p>
March 5, 2018 (TBD): The virtual fundamental class and derived algebraic geometry?
</p>
</li>
<li><p>
March 12, 2018: spring break, no talk
</p>
</li>
<li><p>
March 19, 2018 (Arun): TBD
</p>
</li>
<li><p>
March 26, 2018 (TBD): TBD
</p>
</li>
<li><p>
April 2, 2018 (TBD): TBD
</p>
</li>
<li><p>
April 9, 2018 (TBD): TBD
</p>
</li>
<li><p>
April 16, 2018 (TBD): TBD
</p>
</li>
<li><p>
April 23, 2018 (TBD): TBD
</p>
</li>
<li><p>
April 30, 2018 (TBD): TBD
</p>
</li>
</ul>
<p><b>Some references:</b></p>
<ul>
<li id="FP96"><p>
[FP96] W. Fulton and R. Pandharipande, <a href='https://arxiv.org/pdf/alg-geom/9608011.pdf'>“Notes on
stable maps and quantum cohomology.”</a>
</p></li>
</ul>
<p><b>Related links:</b> more references are posted in the Slack channel.
<br>
<p>
If you'd like to be on the email list, please <a href="mailto:[email protected]">send me an email</a>.
</p>
<footer>
<div id="footer-text">
</div>
</footer>
</div>
</body>
</html>