According to my dictionary both of them mean "lecture".  
But is there any difference between them in nuance?
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2014-01-15T04:07:42.670
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Is there any difference between 講義 and　講演?
講義 is a lecture in the sense of academia. Your college classes, etc. are 講義.

講演 is more generally the act of speaking before an audience on a certain
topic, or even just _a speech_ or an _address_. Note the difference in kanji.
This one uses the more theatrical sense of 演 from 演じる, 演劇, 演技 etc. whereas 講義
uses the more cerebral, scholarly 義.
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