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Independence Results in Mathematics and Challenges in Iterated Forcing Forcing, and especially iterated forcing, is an extremely fruitful technique for proving that certain statements in mathematics are independent from ZFC, or some other base set theory. In recent years, several different lines of research in the area of iterated forcing have given rise to new methods and striking new results. Among those are recent iteration techniques that produce models with the continuum of large cardinality, iterations of proper forcing with side conditions of uncountable cardinality, Jensen's subcomplete forcing iterations, etc.
This workshop will focus on these recent advances, with an emphasis on the techniques and their applicability to problems in combinatorial set theory, as well as problems in mathematics outside of set theory proper. In addition to our focus on iterated forcing, other techniques used to prove independence results will be considered. The workshop will bring together many of the leading researchers in this area.
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INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
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The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
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“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
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Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
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Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.