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八十三、邱老师(1 / 2)

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徐生洲坐直身子,清声说道:“不敢说是突破,只是有些新奇的想法。”

“哦?”邱欣东指着会议室里的其他人等,饶有兴味地说道:“在座的这些位,可都是研究代数几何的精英,你不妨和他们交流讨论一下。我从事数学研究这么多年,心得之一就是不要闭门造车,要走出研究室,和其他人多多交流。思路越辩越清,真理越辩越明。”

徐生洲听说对面全都是研究代数几何的高手,顿时兴奋起来,在他眼里,这些可都是他刷进度的好宝贝。至于交流讨论的话,想法会不会被对方抄袭、借鉴?徐生洲一点都不担心。如果只是自己稍加点拨,对方就能势如破竹般地证明出霍奇猜想,那么霍奇猜想也不会存在这么久,更不会有资格与np完全问题、黎曼猜想等并列世界七大数学难题!

而且作为研究者,就要有这个豪气:哪怕我已经证明出来,回过头来再看的时候,只会感觉“醉来信手两三行,醒后却书书不得”!哪怕我已经说给你听,你想吃透弄懂,也得花上好几个月的时间。就像当年在希尔伯特的讨论班上,一个年轻人在报告时用了一个非常漂亮的定理。希尔伯特问道:“这真是一个妙不可言的定理。是谁发现的?”那个年轻人茫然地站了很久,才回答他的问题:“就是您啊……”

徐生洲左右顾视:“就在这地方吗?”

邱欣东大笑了起来:“这地方不是挺好的吗?申树安、尚青,你们去隔壁推几块白板,再拿几只马克笔过来,咱们今天就以数会友、华山论剑!”

白板很快推了过来,徐生洲当仁不让,站起来拿起马克笔:“各位师长、学长,我作为后学晚辈,在这里先抛砖引玉,说得不对的地方请多指正。在回答霍奇猜想之前,我们必须首先确定好基点,‘基础不牢,地动山摇’,如果基点出现争议,那么后果无疑是灾难性的。我选择的第一个基点是舒尔茨的拟完满空间理论,对于固定素数p,考虑p进数域l0:=……”

最近一个多月,徐生洲全部精力都扑在了霍奇猜想上,不仅把前人成果啃个七七八八,而且把笼罩在霍奇猜想上的迷雾渐渐拨开了一点缝隙,隐约窥见到了盘山道路的方向与险峻。他不清楚在座的高手对霍奇猜想钻研到什么程度,但他相信,自己是可以与他们一较短长的。

将近一个小时之后,徐生洲进入了收尾阶段:“……最后通过新建立的空间遍历理论,前面提到的公式39、41、52,结合建立一套有效的几何工具,对图形进行手术,有效降低构型数量和关系,使之归结为有限的构型。同时结合引理13、公式22、27,建立一组强有力的代数方程,两者将为求解霍奇猜想成立的条件提供一定的可能。以上就是我的设想,请各位师长、学长批评指正!”

在座众人深色各异,因为各自研究方向不同,有的在前半个小时还能游刃有余,有的从一开始就进入了懵必状态。当然,最早放弃治疗的是搞概率论的成老爷子,他从第30秒开始就抱着茶杯神游天外,现在才回过神来。

等徐生洲讲完,邱欣东轻轻鼓掌,然后笑眯眯地说道:“果然盛名之下无虚士!别的先不说,只论小徐对霍奇猜想的理解程度,如此举重若轻、信手拈来,就远超一般博士的水准,成兄你果然是教导有方。在座各位,你们对小徐刚才的报告有何疑问,现在可以举手发言。”

马上就有一位三十岁左右的青椒举起手:“我对公式9有点疑问。如果我没有记错的话,chirikov在1987年推导出类似的公式,但具体表述是Г*(oprojs)=na[x0,…,xm]xi·,其中是有条件的,即m≥3。你的公式与他的不一样。为什么?”

徐生洲拿起白板擦,擦干净一块地方,然后开始写道:“Г*(oprojs)=a[x0]x0≠a[x0],……”很快他就写完半块白板,才回过头问道:“明白了吗?”

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