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蟷ｾ菴募ｭｦ ML 縺ｮ逧�ｧ假ｼ�<br>
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縺贋ｸ冶ｩｱ縺ｫ縺ｪ縺｣縺ｦ縺翫ｊ縺ｾ縺呻ｼ檎炊遐� iTHEMS 縺ｮ菴宣㍽蟯ｳ莠ｺ縺ｧ縺呻ｼ�
<div>譛ｬ繝｡繝ｼ繝ｫ繧帝㍾隍�＠縺ｦ蜿励￠蜿悶ｉ繧後◆譁ｹ縺ｯ縺ｩ縺�◇縺泌ｮｹ襍ｦ縺上□縺輔＞��</div>
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<div>荳玖ｨ倥�隕��倥〒逅��� iTHEMS 縺ｫ縺ｦ髮�ｸｭ隰帷ｾｩ繧帝幕隰帙☆繧九�縺ｧ縺顔衍繧峨○閾ｴ縺励∪縺呻ｼ�</div>
<div>蟇ｾ髱｢�上が繝ｳ繝ｩ繧､繝ｳ縺ｧ縺ｮ蜿ょ刈繧貞ｸ梧悍縺輔ｌ繧区婿縺ｯ荳玖ｨ倥�繝輔か繝ｼ繝�繧医ｊ縺皮匳骭ｲ荳九＆縺�ｼ�</div>
<div>逧�＆縺ｾ縺ｮ縺泌盾蜉�繧偵♀蠕�■縺励※縺�∪縺呻ｼ�</div>
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<div>譌･譎�: 2023蟷ｴ7譛�31譌･(譛�) - 8譛�10譌･(譛ｨ) (8譌･髢�)</div>
<div>隰帶ｼ碑�: Hiro Lee Tanaka 豌� (Assistant Professor, Department of Mathematics, Texas State University, USA)</div>
<div>莨壼�ｴ: 逅��� iTHEMS 蜥悟�繧ｭ繝｣繝ｳ繝代せ 359 繧ｻ繝溘リ繝ｼ螳､ �� Zoom</div>
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<div>鬘檎岼: Higher Algebra in Geometry</div>
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<div>讎りｦ�: In these lectures, we will shed light on modern tools of higher algebra, where the traditional structures of algebra yield themselves only after controlled deformations. We will introduce infinity-categories, spectra, operads, and other standard tools
of the last decade. The main applications will be to encode various higher-algebraic structures that inevitably arise in, and shed light on, geometry and topology. If time permits, we will illustrate how spectra naturally arise in geometric invariants.</div>
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<div>The audience is imagined to consist of mathematicians interested in applications of infinity-categorical tools -- so a broad range of geometers (including topologists) and algebraists. From Lecture Two onward, I will assume basic knowledge of algebraic
topology (e.g., the material of Hatcher) and homological algebra.</div>
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<div>These lectures will be held between July 31 and August 10, each from 13:30 to 15:00, for a total of 8 lectures.</div>
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<div>1st Week: Jul 31(mon), Aug 1(tue) - 3(thu)</div>
<div>- Introduction to ideas of higher algebra in geometry, for a general audience.</div>
<div>- Introduction to infinity-categories and to spectra.</div>
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<div>2nd Week: Aug 7(mon) - 10(thu)</div>
<div>- Examples in geometry and topology, including invariants of Legendrian links and generating functions.</div>
<div>- Future Directions.</div>
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<div>隧ｳ邏ｰ: <a href="https://ithems.riken.jp/en/events/higher-algebra-in-geometry">https://ithems.riken.jp/en/events/higher-algebra-in-geometry</a></div>
<div>蜿ょ刈逋ｻ骭ｲ: <a href="https://forms.gle/X4S67XpVt1STYyrZ7">https://forms.gle/X4S67XpVt1STYyrZ7</a></div>
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<div>窶�</div>
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<div>菴宣㍽蟯ｳ莠ｺ</div>
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