Hard to say, of course...
It depends on whether this is out of real life or a novel, what times we are talking about, how politically correct the text is supposed to be.
I don't know what Oxbridge is like now, but in days gone by it was severely male-oriented. Women academics and undergraduates had their own separate clubs - The Women's Union (or perhaps back then it was the "Ladies' Union", I don't know).

Cassandra's mention that "it should also be publicised (British sp.) amongst all undergraduates" (not just female undergraduates) suggests that the "Ladies" refers to some sort of university non-undergraduate association, hence my guess that it is the female dons.

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Note added at 2002-06-10 13:58:45 (GMT)
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It seems in this excerpt that the \"Ladies\" are somehow in counterpoint to the undergraduates;
also, \"Ladies\" with an \"L\" implies a known association of ladies.

I would suggest, without more context:

дамы

\"Конечно же, (наши) дамы будут присутствовать. А также следует разрекламировать это событие/мероприятие среди всех студентов.\"

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Note added at 2002-06-10 18:07:52 (GMT)
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To refer to Lyudmila T\'s comment about don Cassandra, who could also just as likely be a woman -

I am convinced it IS a woman - I doubt it is a man of Italian origin - unless you are translating Alessandro Baricco from English. The Oxbridge dons are referred to as dons, whether male or female. Iris Murdoch was an Oxford don. Cassandra is referring to \"the Ladies\" as a group which she most likely belongs.

But isn\'t it strange that we here should be discussing a work of which we know nothing!!!