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<div class=Section1>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>John McClearly</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B65<x(B</span><span lang=EN-US
style='font-size:10.0pt'>(</span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$BJF9q(B</span><span lang=EN-US style='font-size:10.0pt'>Vassar College)</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$N!$L>9)Bg$G$N9V1i$,5^n17hDj$7$^$7$?$N$G!$(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B0J2<$K9V1i<!Bh$N(B</span><span
lang=EN-US style='font-size:10.0pt'>tex</span><span style='font-size:10.0pt;
font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B%U%!%$%k$r%3%T!<$7!$$=$N(B</span><span lang=EN-US style='font-size:
10.0pt'>pdf</span><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B%U%!%$%k$rE:IU%U%!%$%k$K$F(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$*CN$i$;$7$^$9$N$G!$$I$&$+59$7$/$*4j$$$7$^$9!%(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$J$*!$$3$N%a!<%k$r=EJ#$7$F<u$1<h$i$l$?J}!9$K$O!$$*OM$S?=$7>e$2$^$9!%(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B<h$j5^$.!$(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BFnHOI'(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>----------------------------------------------------------------------------------------------------------------------<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\documentstyle[11pt,a4j]{jarticle}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\pagestyle{empty}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\begin{document}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\begin{center}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'> {\Huge<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'> \bf </span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BL>9)Bg%[%b%H%T!<O@=82q#0(B</span><span
lang=EN-US style='font-size:10.0pt'>9</span><span style='font-size:10.0pt;
font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B!](B</span><span lang=EN-US style='font-size:10.0pt'>1}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\end{center}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\vspace{10mm}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BD>A0$G@?$K?=$7Lu$4$6$$$^$;$s$,!$(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>Cambridge
University Press </span><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$+$i=PHG$5$l$?#2:}$NCx=q(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\begin{itemize}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item $B!H(BGeometry
from a Differentiable Viewpoint,$B!I(B Cambridge University Press, NY, NY, 1994<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item
$B!H(BUser$B!G(Bs Guide to Spectral Sequences$B!I(B, second edition, Cambridge University
Press, NY, NY, 2001<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\end{itemize}<o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$GM-L>$J(B</span><span
lang=EN-US style='font-size:10.0pt'>John McClearly</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B65<x(B</span><span lang=EN-US
style='font-size:10.0pt'>(</span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$BJF9q(B</span><span lang=EN-US style='font-size:10.0pt'>Vassar College)</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$N!$L>9)Bg$G$N9V1i$,5^n17hDj$7$^$7$?$N$G!$(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$*CN$i$;$$$?$7$^$9!%(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B%[%b%H%T!<O@$N$_$J$i$:?tM}J*M}$G$bCxL>$J(B</span><span
lang=EN-US style='font-size:10.0pt'>Stassheff</span><span style='font-size:
10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B65<x$N$b$H$G3X$P$l$?(B</span><span lang=EN-US
style='font-size:10.0pt'>McClearly</span><span style='font-size:10.0pt;
font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B65<x$O!$(B</span><span lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B?t3X$HJ*M}!&9)3X$,8_$$$K;I7c$7$"$C$F?J2=$7$F$-$?Nr;K$K$bB$7X$,?<$/!$(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B:#2s$N9V1i$b$3$N$h$&$J$3$H$rGX7J$H$7$?3X@8$r4^$`0lHL8~$1$N$b$N$H$J$C$F$*$j$^$9!%(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B9V1i8e$O:)?F2q$r7W2h$7$F$*$j$^$9$N$G!$$=$N>l$G(B</span><span
lang=EN-US style='font-size:10.0pt'>McClearly</span><span style='font-size:
10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B65<x$H$N$h$j?<$$F$O@$b2DG=$+$H;W$$$^$9!%(B</span><span lang=EN-US
style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BB?$/$NJ}!9$N$4;22C$r$*BT$A$7$F$*$j$^$9!%(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\vspace{3mm}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\begin{description}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item[</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BF|;~!'(B</span><span lang=EN-US
style='font-size:10.0pt'>] {\large\bf 2009</span><span style='font-size:10.0pt;
font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BG/(B</span><span lang=EN-US style='font-size:10.0pt'>3</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B7n(B</span><span lang=EN-US
style='font-size:10.0pt'>17</span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$BF|(B</span><span lang=EN-US style='font-size:10.0pt'>(</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B2P(B</span><span lang=EN-US
style='font-size:10.0pt'>) 17</span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$B;~(B</span><span lang=EN-US style='font-size:10.0pt'>15</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BJ,!A(B</span><span lang=EN-US
style='font-size:10.0pt'>18</span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$B;~(B</span><span lang=EN-US style='font-size:10.0pt'>45</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BJ,(B</span><span lang=EN-US
style='font-size:10.0pt'>}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item[</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B2q>l!'(B</span><span lang=EN-US
style='font-size:10.0pt'>] </span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$BL>8E20;T><OB6h8f4o=jD.(B</span><span lang=EN-US style='font-size:10.0pt'>
\newline<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>{\large\bf </span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BL>8E209)6HBg3X!&(B</span><span lang=EN-US
style='font-size:10.0pt'>53</span><span style='font-size:10.0pt;font-family:
"$B#M#S(B $B%4%7%C%/(B"'>$B9f4[(B</span><span lang=EN-US style='font-size:10.0pt'>(</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$$$o$f$k65M\%-%c%s%Q%9(B</span><span
lang=EN-US style='font-size:10.0pt'>)(</span><span style='font-size:10.0pt;
font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B#33,(B</span><span lang=EN-US style='font-size:10.0pt'>)</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B!#0#49V5A<<(B</span><span lang=EN-US
style='font-size:10.0pt'>}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\vspace{2mm}\ <o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\newline\ <o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\ <o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B!&(B</span><span
lang=EN-US style='font-size:10.0pt'>{</span><span style='font-size:10.0pt;
font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B%"%/%;%9!CL>8E209)6HBg3X(B</span><span lang=EN-US style='font-size:
10.0pt'>:}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\newline<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>{\bf <a
href="http://www.nitech.ac.jp/access/index.html">http://www.nitech.ac.jp/access/index.html</a>}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\newline<o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B$K$O!"0J2<$N>pJs$X$N%j%s%/$,D%$i$l$F$$$^$9!#(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\begin{enumerate}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item </span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BL>8E209)6HBg3X$X$N8rDL%"%/%;%9!J<g$J8x6&8rDL5!4X$NO)@~?^$HL>9)Bg$^$G$N7PO)$N0FFb$,$"$j$^$9!#(B</span><span
lang=EN-US style='font-size:10.0pt'>),<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item </span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B=j:_CO!JL>9)Bg6a9Y$NCO?^$K$h$k0FFb$,$"$j$^$9!#(B</span><span
lang=EN-US style='font-size:10.0pt'>), <o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item </span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B%-%c%s%Q%9%^%C%W!JL>9)BgI_COFb$N7zJ*$N0FFb$,$"$j$^$9!#!K(B</span><span
lang=EN-US style='font-size:10.0pt'><o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\end{enumerate}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item[</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B9V1i<T(B</span><span lang=EN-US
style='font-size:10.0pt'>:] {\Large\bf Professor John McClearly, Vassar
College}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item[</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B9V1iBjL>(B</span><span lang=EN-US
style='font-size:10.0pt'>:] {\Large\bf On Borsuk-Ulam Phenomena}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\item[</span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$B%"%V%9%H%i%/%H(B</span><span lang=EN-US
style='font-size:10.0pt'>:] {\large\bf One of the classical theorems in
topology, the Borsuk-Ulam Theorem<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>has many
reinterpretations and applications outside topology. In this<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>talk I will
develop a framework of problems to which these ideas apply<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>and discuss
applications to classical combinatorial problems<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>and possible
applications to data structures and equidistribution problems.}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\end{description}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\vspace{3mm} <o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\begin{flushright}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>{\bf </span><span
style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BLd$$9g$o$;@h(B</span><span lang=EN-US
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10.0pt'> </span><span style='font-size:10.0pt;font-family:"$B#M#S(B $B%4%7%C%/(B"'>$BHOI'(B</span><span
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lang=EN-US><a href="mailto:nori@nitech.ac.jp">nori@nitech.ac.jp</a><o:p></o:p></span></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\end{flushright}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'>\end{document}<o:p></o:p></span></p>
<p class=MsoNormal><span lang=EN-US style='font-size:10.0pt'><o:p> </o:p></span></p>
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