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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B3'$5$^(B</span><span lang="EN-US"></span></p>
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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B!VM}2=3X8&5f=j(B</span><span lang="EN-US">iTHEMS</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B!&?t3X%;%_%J!<!W$r2<5-$NF|Dx$G3+:E$$$?$7$^$9!#(B</span><span lang="EN-US"></span></p>
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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BF|;~!'(B</span><span lang="EN-US"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">2021</span></span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">$BG/(B</span></span><span lang="EN-US"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">12</span></span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">$B7n(B</span></span><span lang="EN-US"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">3</span></span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">$BF|(B</span></span><span lang="EN-US"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">(</span></span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">$B6b(B</span></span><span lang="EN-US"><span dir="ltr" style="color:currentcolor;text-decoration:underline;text-decoration-color:rgb(0, 120, 212) !important">)
16:00-18:00</span></span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B!JESCf5Y7F$"$j!#!K(B</span><span lang="EN-US"></span></p>
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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B9V1i<T!'?9EDM[2p(B</span><span lang="EN-US"><span> </span>(</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B5~ETBg3X(B</span><span> </span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BBg3X1!M}3X8&5f2J(B</span><span> </span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B?t3X65<<(B</span><span lang="EN-US">)</span></p>
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<span lang="EN-US"> </span></p>
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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B%?%$%H%k(B</span><span lang="EN-US"><span> </span>: The Conley index of topological dynamical systems</span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B%"%V%9%H%i%/%H(B</span><span lang="EN-US"><span> </span>: The study of topological dynamical systems, i.e. continuous self-homeomorphisms (or continuous flows) on topological spaces, is important in both pure mathematics
and applications. To each isolated invariant subset of a topological dynamical system, we can assign an invariant called the Conley index, which is (roughly speaking) a based space that describes the dynamics around the isolated invariant subset. It is used
not only in the study of topological dynamical systems themselves but also in Manolescu$B!G(Bs construction of the Seiberg-Witten-Floer homotopy type (a spectrum-valued (3+1)-dimensional TQFT). In this talk, I am planning to explain a new construction of Conley
indices, which is entirely non-homotopical and uses only basic general topology. </span></p>
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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BK\%;%_%J!<$O(B</span><span lang="EN-US">Zoom</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B$rMQ$$$F%*%s%i%$%s$G9T$$$^$9!J%;%_%J!<$O1Q8l$G9T$o$l$^$9!K!#(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B;22C$r$44uK>$NJ}$O!"2<5-%j%s%/$^$?$O%_!<%F%#%s%0(B</span><span lang="EN-US">ID</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B$h$j$4;22C$/$@$5$$!#(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";color:rgb(220, 161, 13)">
<span lang="EN-US"><a href="https://us06web.zoom.us/j/86515575355?pwd=Q05DV3ErY1lMNFNlam1jVTAreDJrdz09" style="color:rgb(0, 120, 212);text-decoration:underline">https://us06web.zoom.us/j/86515575355?pwd=Q05DV3ErY1lMNFNlam1jVTAreDJrdz09</a></span></p>
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<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B%_!<%F%#%s%0(B</span><span lang="EN-US">ID:<span> </span><span dir="ltr" style="color:rgb(0, 120, 212);text-decoration:underline">865 1557 5355</span></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B%Q%9%3!<%I(B</span><span lang="EN-US">: 558185</span></p>
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<span lang="EN-US"> </span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B!Z?t3X%;%_%J!<$K$D$$$F![(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BK\%;%_%J!<$O!V?t3X<T$H2J3X<T$N%3%_%e%K%1!<%7%g%s$rB%?J$9$k!W$3$H$rL\E*$H$7$F!"(B</span><span lang="EN-US">2019</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BG/(B</span><span lang="EN-US">4</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B7n$K3hF0$r3+;O$7$^$7$?!#(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span lang="EN-US">2020</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BG/EY$^$G$O!"M}2=3X8&5f=j?tM}AOB$%W%m%0%i%`(B</span><span lang="EN-US">(iTHEMS)</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B$K$*$1$k(B</span><span lang="EN-US">internal</span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B$J%;%_%J!<$H$7$F3+:E$7$F$-$^$7$?$,!"(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B%*%s%i%$%s2=$KH<$$!"M}8&30It$NJ}!9$K$b$4;22C$$$?$@$1$k7A$K$9$k$3$H$H$$$?$7$^$7$?!#(B</span><span lang="EN-US"></span></p>
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<span lang="EN-US"> </span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B$3$l$^$G$N3hF0FbMF$K4X$7$^$7$F$O!"2<5-%j%s%/@h$r$4;2>H$/$@$5$$!#(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B3'MM$N$4;22C$r$*BT$A$7$F$*$j$^$9!#$I$&$>$h$m$7$/$*4j$$CW$7$^$9!#(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";color:rgb(220, 161, 13)">
<span lang="EN-US"><a href="https://sites.google.com/view/ithems-math-seminar/home" style="color:rgb(0, 120, 212);text-decoration:underline">https://sites.google.com/view/ithems-math-seminar/home</a></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";color:rgb(220, 161, 13)">
<span lang="EN-US"><a href="https://ithems.riken.jp/en/events/math-seminar" style="color:rgb(0, 120, 212);text-decoration:underline">https://ithems.riken.jp/en/events/math-seminar</a></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span lang="EN-US"> </span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span lang="EN-US">Yalong Cao</span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B;0>e(B</span><span> </span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B7LB@(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Helvetica Neue";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B5\yu(B</span><span> </span><span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$B900B(B</span><span lang="EN-US"></span></p>
<p style="margin:0mm;font-size:10pt;font-family:"Hiragino Sans";caret-color:rgb(33, 33, 33);color:rgb(33, 33, 33)">
<span style="font-family:"$B#M#S(B $B#P%4%7%C%/(B", sans-serif">$BM}2=3X8&5f=j(B</span><span style="font-family:"Helvetica Neue""><span lang="EN-US">iTHEMS</span></span></p>
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