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On generalized cohomology theories in different categories and cobordism
2015-03-13
来源:科技处 供稿:科技处 点击次数:主讲人:孙鹏 博士(北京国际数学研究中心)
时 间:3月19日(周四)10:30-11:30
地 点:必赢76net线路官网北二区教学楼 513 教室
摘 要: Quillen and Levine-Morel studied cobordism in complex and algebraic setting. Following their ideas, we can define oriented cohomology theories on the category of Deligne-Mumford stacks over a ground field. By using extension of scalars and theorems of Riemann-Roch type, we find a universal theory with rational coefficients on a subcategory in characteristic zero, which can be viewed as a kind of cobordism.