<html><body><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000"><div data-marker="__QUOTED_TEXT__"><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000"><div><div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000">
<div>
<div id="zimbraEditorContainer" style="font-family:'arial' , 'helvetica' , sans-serif;font-size:12pt;color:#000000" class="6">
<div>
<div><font face="Times New
Roman, Times, serif"><b><span style="font-size:14pt"></span></b></font><font face="Times New Roman,
Times, serif"><b><font face="Times New Roman,
Times, serif"><b>Friday,
October 6, 2023 - IAS
High Energy Theory
Seminar</b></font></b></font><br>
<div><font face="Times New
Roman, Times, serif"><b><font face="Times New Roman,
Times, serif"> <br>
</font></b><font face="Times New Roman,
Times, serif">"The
Dark-Matter Problem of
the Moduli Space of
Curves and its (partial)
Tropical Solution"</font></font><font face="Times New Roman,
Times, serif"><font face="Times New Roman,
Times, serif"><br>
<br>
Location: Wolfensohn
Hall (IAS) & Zoom<br>
<br>
Zoom Link: <a href="https://theias.zoom.us/j/84232389159?pwd=UAWukoEv3RMKL8ssHZ2nUfIwggISU7.1" rel="nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer" target="_blank">https://theias.zoom.us/j/84232389159?pwd=UAWukoEv3RMKL8ssHZ2nUfIwggISU7.1</a><br>
<br>
Time: 11:00 AM <b><font color="#ff0000">(NOTE
TIME CHANGE)</font></b><br>
<br>
Speaker: Michael
Borinsky, ETH Zurich</font><b><font face="Times New Roman,
Times, serif"><br>
<br>
<br>
</font>Abstract: </b>The
moduli space of curves,
M_g, is an object of
pivotal interest in
mathematics and
theoretical physics. Even
though it has been studied
with tremendous effort,
little is known about its
topology. For instance,
the total dimension of the
cohomology of M_g grows
quickly with g, but the
known constructions for
cohomology classes only
account for a negligibly
small part of this growth.
The known existence of
huge amounts of cohomology
and the lack of
explanation for it, is
dubbed the 'dark-matter
problem' of M_g. In this
talk, I will review the
state-of-the-art and a
recent breakthrough by
Chan-Galatius-Payne who
used a tropicalization of
the moduli space of curves
to construct a new source
of cohomology in M_g which
quickly drafts all
previously known sources.
Eventually, I will present
new results which show
that this new source still
only accounts for a small
part of the total
cohomology. The proof
makes use of QFT inspired
path-integrals.</font>
<p><font face="Times New
Roman, Times, serif">---------------------
<br>
</font></p>
<p><font face="Times New
Roman, Times, serif">Lisa
Fleischer <br>
Academic Assistant <br>
School of Natural
Sciences <br>
Institute for Advanced
Study <br>
1 Einstein Drive
Princeton, NJ 08540<br>
<a href="mailto:lisa@ias.edu" rel="nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer nofollow noopener noreferrer" target="_blank">lisa@ias.edu</a></font></p>
<p><font face="Times New
Roman, Times, serif"> </font></p>
</div>
<font face="Times New Roman,
Times, serif"> </font></div>
<font face="Times New Roman,
Times, serif"> </font><br>
</div>
</div>
<br>
</div>
</div>
<br>
</div>
</div>
<br>
</div>
</div>
<br>
</div>
</div>
</div>
</div>
<br>
</div>
</div>
<br>
</div>
</div>
<br>
</div>
</div></div></div><br></div></div></body></html>