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<p class="MsoNormal" align="left" style="text-align:left"><span style="font-size:11.0pt">$B3'$5$^(B<span lang="EN-US"><o:p></o:p></span></span></p>
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<p class="MsoNormal" align="left" style="text-align:left"><span style="font-size:10.0pt;color:black">$B!VM}2=3X8&5f=j(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">iTHEMS</span><span style="font-size:10.0pt;color:black">$B!&?t3X%;%_%J!<!W$r2<5-$NF|Dx$G3+:E$$$?$7$^$9!#(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:10.0pt;color:black">$BF|;~!'(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">2021</span><span style="font-size:10.0pt;color:black">$BG/(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">10</span><span style="font-size:10.0pt;color:black">$B7n(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">22</span><span style="font-size:10.0pt;color:black">$BF|(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">(</span><span style="font-size:10.0pt;color:black">$B6b(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">)
13:00-15:00</span><span style="font-size:10.0pt;color:black">$B!JESCf5Y7F$"$j!#(B<u>$BDL>o$H;~4V$,0[$J$j$^$9$N$G$4Cm0U$/$@$5$$(B</u>$B!K(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;color:black">$B9V1i<T!'(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">Song Sun (UC Berkeley)<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;color:black">$B%?%$%H%k!'(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">Geometry of hyperkahler 4 manifolds<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;color:black">$B%"%V%9%H%i%/%H!'(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"> An n dimensional Riemannian metric g defines a holonomy group, which is a subgroup of SO(n)
given by parallel transport along all contractible loops (with respect to the Levi-Civita connection). According to the Berger classification we know that if a complete Riemannian metric is not locally symmetric and not locally reducible then its holonomy
group is either the entire SO(n) (generic case), or U(n) (Kahler), or is special and belongs to a small list. Riemannian metrics with special holonomy are very interesting geometric objects to study, with many connections to analysis and physics. The simplest
model is given by a 4 dimensional hyperkahler metric. We will explain the general background and discuss recent progress on understanding the geometry of hyperkahler 4 manifolds.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p> </o:p></span></p>
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<p class="MsoNormal"><u><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:#DCA10D"><a href="https://us06web.zoom.us/j/88366041736?pwd=enpnbmVncW9JUlJ2NkdPTGxhWmZGUT09">https://us06web.zoom.us/j/88366041736?pwd=enpnbmVncW9JUlJ2NkdPTGxhWmZGUT09</a></span></u><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:#DCA10D"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;color:black">$B%_!<%F%#%s%0(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">ID: 883 6604 1736<o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;color:black">$B!Z?t3X%;%_%J!<$K$D$$$F![(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">2020</span><span style="font-size:10.0pt;color:black">$BG/EY$^$G$O!"M}2=3X8&5f=j?tM}AOB$%W%m%0%i%`(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">(iTHEMS)</span><span style="font-size:10.0pt;color:black">$B$K$*$1$k(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">internal</span><span style="font-size:10.0pt;color:black">$B$J%;%_%J!<$H$7$F3+:E$7$F$-$^$7$?$,!"(B</span><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><u><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:#DCA10D"><a href="https://sites.google.com/view/ithems-math-seminar/home">https://sites.google.com/view/ithems-math-seminar/home</a></span></u><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:#DCA10D"><o:p></o:p></span></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:#DCA10D"><a href="https://ithems.riken.jp/en/events/math-seminar">https://ithems.riken.jp/en/events/math-seminar</a></span></u><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:#DCA10D"><o:p></o:p></span></p>
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<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Helvetica Neue";color:black">Yalong Cao<o:p></o:p></span></p>
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