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理学院2019-2020学年秋季第三周学术报告(2)


学 术 报 告


报告题目:Embedding framed 4-graphs


报告学者:Vassily O. MANTUROV

 

报告者单位Bauman Moscow State University Russia


报告时间20199171530---1620


报告地点学活十层会议室


摘要:We consider 4-graphs with a structure of opposite edges specified at each vertex. For such graphs, it is natural to consider surface embeddings (the initial framing should coincide with the natural structure of opposite edges in the surface). I will give a proof of Vassiliev's conjecture which states that framed 4-graph is non-planar if and only if it contains two edge-disjoing cycleshaving exactly one transverse intersection (with possibly many non-transverse intersections).


报告者简介:Vassily O. MANTUROV,俄罗斯Bauman Moscow State Technical University & Chelyabinsk State University教授。SCI期刊Journal of Knot Theory and Its Ramifications副主编。研究链环、虚拟链环、辫子群及三维流形等。



主办教师:万良霞

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