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第794章 餐前小考!(1 / 2)

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德维特坐着轮椅,邓浦和推着轮椅,俨然一对好哥俩。

三个年轻数学家连忙起身问好,脸色带着觐见皇帝的激动,还是同时觐见两位皇帝!

“虽然我来晚了,但我带了邓浦和过来,买一赠一!”德维特开玩笑,“有史以来规格最高的德维特晚餐,诚意满满!”

“我来蹭蹭饭!”邓浦和大笑,“有人请客,不吃白不吃!”

德维特和邓浦和落座,三个年轻数学家也略带拘谨地坐下。

“菜我已经点好了,稍后就上,请大家相信我的口味。”德维特有些眉飞色舞,“我可不是那种吃左宗棠鸡的假老饕,每年我会到清华或北大去当一个月的客座教授,邓经常带我去吃好馆子,各大菜系我都熟悉!过几年脑子不灵光了,我就转行去当美食家!”

三个年轻数学家连忙表示期待,有人请客就不挑挑拣拣了,上什么菜就吃什么吧,如此高档场所,想来也不会端两盆方便面上来。

“最近几天,我带的几个博士生在准备选毕业论文的方向。”德维特话锋一转,认真起来,“今早他们给我发了一些参考题目,我想听听你们的看法。咱们简短讨论完这些题目,你们有什么感兴趣的方向可以问我。”

说着,德维特伸手到背后,拽出一只黑皮包,掏出几张纸来。

三个年轻数学家连忙起身,接过自己的一张纸,摆在桌上认真看。

宋河秒懂这老头在打什么小九九,所谓博士毕业论文谁知道是真是假,但拿这些题搞个突击测验是真的,德维特还想摸摸列席者的底儿。

直白点说,这是一张小试卷!

餐桌上气氛顿时紧张,三个年轻数学家拼命看题,德维特和邓浦和小声窃窃私语,简直像两位监考老师。

“不要太紧张,只是听听你们的想法,什么想法都行。我或许会偷一些你们的观点转给我的博士们。”德维特笑道,“第一题有想法了吗?”

伽罗瓦眼神犹豫,但还是抢先开口:

“第一题……我觉得可以构造一个空间作为k倍复叠空间,并用单径作用给出表示,只需要在题设基础上补充有限多个点并……并……”

德维特也拿着一张小试卷,认真听完后点点头,和蔼地望向伽罗瓦,“并什么?”

“将全纯映射扩张到G!”卡特琳娜突然开口补充,“伽罗瓦的做法是把它先看成一个局部问题,将对应置换群里的元素表示成无交圈的乘积!”

“对对!”伽罗瓦感激地看了卡特琳娜一眼,“我觉得这样切入,可以把题目做出来。”

“很好!”德维特笑眯眯。

“我觉得倒可以从另一个方向入手。”卡特琳娜进入状态了,“既然已知J是一个分支覆盖,那么j能得到一个逆映射,说明复叠空间是平凡的。”

“也可能复叠空间是不连通的。”伽罗瓦突然开口补充。

“对,总之和题设里的事实相悖,所以没法在穿孔平面Ω上得到J的逆映射。”卡特琳娜语速加快,“不如引入一个新变量去专门考虑L里面的代数簇,将投影映射a限制一下就能得到需要的分支覆盖。”

德维特拿着小试卷,眉头微挑,“嗯,有道理!然后呢?”

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