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mso-level-tab-stop:324.0pt; mso-level-number-position:left; text-indent:-18.0pt; mso-ansi-font-size:10.0pt; font-family:Symbol;} ol {margin-bottom:0cm;} ul {margin-bottom:0cm;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman";} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="2050"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor=white lang=EN-GB link=blue vlink=purple style='tab-interval:36.0pt'> <div class=WordSection1> <p class=MsoNormal><span class=s2><b><span style='mso-bidi-font-family:"Times New Roman"'><span style="mso-spacerun:yes"> </span>Very Informal European Gathering Bristol 2018<o:p></o:p></span></b></span></p> <p class=MsoNormal><span style='font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";display:none;mso-hide:all'><o:p>&nbsp;</o:p></span></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 style='mso-cellspacing:0cm;mso-yfti-tbllook:1184;mso-padding-alt:0cm 0cm 0cm 0cm'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes'> <td width=148 style='width:148.45pt;padding:0cm 0cm 0cm 0cm'> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul style='margin-top:0cm' type=disc> <li class=MsoNormal style='color:#0000EE;mso-line-height-alt:10.5pt; mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'><span class=apple-tab-span><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";color:black'><span style='mso-tab-count:1'> </span></span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman";color:black'><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]></span><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='color:#0000EE;mso-line-height-alt:10.5pt; mso-list:l1 level1 lfo3;tab-stops:list 36.0pt'><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman";color:black'><br style='mso-special-character:line-break'> <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> <![endif]></span><span style='mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> </ul> </td> <td width=428 style='width:428.25pt;padding:0cm 0cm 0cm 0cm'> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p4><span class=s6><b><span style='font-size:12.0pt;mso-bidi-font-family: "Times New Roman"'>VIEG - 2018</span></b></span><span class=apple-converted-space><b><span style='font-size:12.0pt'>&nbsp;</span></b></span><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 style='mso-cellspacing:0cm;mso-yfti-tbllook:1184;mso-padding-alt:0cm 0cm 0cm 0cm'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes'> <td width=427 style='width:426.75pt;padding:.75pt .75pt .75pt .75pt'> <p class=p1><span class=s1><span style='font-size:12.0pt'>The VIEG - 2018 will be held on Fri.-Sat. June 8-9<sup>th </sup>, 2018 at the School of Mathematics, University of Bristol</span></span><span style='font-size: 12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <ul style='margin-top:0cm' type=disc> <ul style='margin-top:0cm' type=circle> <li class=MsoNormal style='color:#0000EE;mso-line-height-alt:10.5pt; mso-list:l1 level2 lfo3;tab-stops:list 72.0pt'><span class=s1><span style='color:windowtext'>To register, please </span></span><span class=s5><span style='mso-fareast-font-family:"Times New Roman"'><a href="mailto:p.welch@bristol.ac.uk">mailto:p.welch@bristol.ac.uk</a></span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></li> </ul> </ul> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p1><span class=s1><span style='font-size:12.0pt'>Speakers and the intended time of their lectures: </span></span><span style='font-size:12.0pt; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <ul style='margin-top:0cm' type=disc> <li class=MsoNormal style='color:black;mso-line-height-alt:10.5pt; mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'>David <span class=SpellE>Asper&oacute</span> (UEA) Friday 16.45 - 17.45</span></span><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='color:black;mso-line-height-alt:10.5pt; mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'><span class=SpellE><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'>Adrian</span></span></span><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>Mathias</span> (Reunion) Saturday 11.30 - 12.30 </span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='color:black;mso-line-height-alt:10.5pt; mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'><span class=SpellE><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'>Mirna</span></span></span><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>D&#382;amonja</span> (UEA) Friday 14.00 - 15.00</span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='color:black;mso-line-height-alt:10.5pt; mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'>Martin <span class=SpellE>Goldstern</span> (TU Vienna) Saturday 10.30 -11.30 </span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='color:black;mso-line-height-alt:10.5pt; mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'><span class=SpellE><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Asaf</span></span><span style='mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'> <span class=SpellE>Karagila</span> (UEA) Friday 15.30 - 16.30<o:p></o:p></span></li> <li class=MsoNormal style='color:black;mso-line-height-alt:10.5pt; mso-list:l0 level1 lfo6;tab-stops:list 36.0pt'><span class=SpellE><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'>Benedikt</span></span></span><span class=s1><span style='mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>Lwe</span> (Hamburg, ILLC Amsterdam) Saturday 9.00 - 10.00</span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></li> </ul> <p class=MsoNormal style='margin-left:36.0pt;mso-line-height-alt:10.5pt'><span class=apple-converted-space><span style='mso-fareast-font-family:"Times New Roman"; color:black'>&nbsp;</span></span><span class=apple-tab-span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"; color:black'><span style='mso-tab-count:1'> </span></span></span><span style='mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"; color:black'><o:p></o:p></span></p> </td> </tr> </table> <p class=p1><span class=s1><span style='font-size:12.0pt'> <p class=p6><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> The Workshop will take place in 4th Floor Seminar Room of Howard House, School of Mathematics, University of Bristol, Queen s Avenue, </span></span><span style='font-size: 12.0pt'>BS8 1SD<span class=s1> (commencing at lunch time on the Friday, and finishing early Saturday afternoon).</span></span><span style='font-size: 12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=p3><span class=s4><span style='font-size:12.0pt;mso-bidi-font-family: "Times New Roman"'>See Heilbronn Institute on the map: <a href="http://www.bristol.ac.uk/maps/google/"><span class=s7>http://www.bristol.ac.uk/maps/google/</span></a></span></span><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=p1><span class=s1><span style='font-size:12.0pt'><o:p>&nbsp;</o:p></span></span></p> <p class=p1><span class=s1><span style='font-size:12.0pt'> <p class=p6><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> Travel: The Bus/Coach station is within a fairly stiff 10/15 min. walk of Howard House and Berkeley Square. From Heathrow the express coach is direct and is almost the easiest way to get to Bristol. In Bristol, bus numbers 8, 9 from the train station (or from near the Bus Station) will take you very near the Berkeley Square Hotel; ( <span class=SpellE>Parkstreet</span> Top )</span></span><span class=apple-converted-space><span style='font-size:12.0pt'>&nbsp;</span></span><span class=s1><span style='font-size:12.0pt'>they also stop at</span></span><span class=apple-converted-space><span style='font-size:12.0pt'>&nbsp; </span></span><span class=s1><span style='font-size:12.0pt'> The Triangle West (close to Howard House). Bus Number 8 goes on to the Rodney Hotel ( by the Quadrant pub'', in Clifton).</span></span><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=p6><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> If you do use the train be sure to buy your tickets in advance, as otherwise these can be ruinously expensive.</span></span><span style='font-size:12.0pt;mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=p6><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> For Accommodation: <a href="https://cliftonhotels.com/bristol-hotels/rodney"><span class=s9>The Rodney Hotel</span></a> (in Clifton) and <a href="https://cliftonhotels.com/bristol-hotels/berkeley-square"><span class=s9>The Berkeley Square Hotel</span></a> will house most speakers.</span></span><span class=apple-converted-space><span style='font-size:12.0pt'>&nbsp; </span></span><span class=s1><span style='font-size:12.0pt'>Postgrads may wish to consider Toad <span class=GramE>Lodge<span class=apple-converted-space>&nbsp; </span></span><a href="http://www.toadlodge.uk.com/"><span class=s9>http://www.toadlodge.uk.com</span></a> or as usual <span class=SpellE>AirBNB</span></span></span> <br> <a href=" https://www.google.com/maps/dir/The+Rodney+Hotel,+Bristol/Howard+House,+Bristol/@51.4566572,-2.6170607,16z/data=!3m1!4b1!4m14!4m13!1m5!1m1!1s0x48718dc7ed509023:0xd113a52fd39d40e7!2m2!1d-2.6198179!2d51.4555311!1m5!1m1!1s0x48718ddb247f8415:0x2e4e7580f3d70377!2m2!1d-2.6071773!2d51.4577396!3e3 "><span class=s9></span><br>Rodney Hotel to Howard House walking route</a> <span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=p6><span class=apple-converted-space><span style='font-size:12.0pt'>&nbsp;<o:p></o:p></span></span></p> <p class=p6><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><a href="https://people.maths.bris.ac.uk/~mapdw/">P D Welch's website</a><o:p></o:p></span></p> <br> ---------------------- <br> <p class=p6><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p6><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'>Martin <span class=SpellE>Goldstern</span>:  </span><span style='font-size:12.0pt'>The Higher <span class=SpellE>Cichon</span> Diagram: <span class=SpellE>lambda-andom</span> <span class=SpellE>reals</span>  <o:p></o:p></span></p> <a href=" https://people.maths.bris.ac.uk/~mapdw/VIEG-2018/goldstern.pdf "><span class=s9></span><br>Slides</a> <p class=p6><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"; color:black'> In a joint paper with Thomas <span class=SpellE>Baumhauer</span> and <span class=SpellE>Saharon</span> <span class=SpellE>Shelah</span>, we investigate<br> the cardinal characteristics introduced by <span class=SpellE>Shelah</span> in his paper <br> &nbsp;&quot;A parallel to the null ideal for inaccessible lambda, part I&quot; [Sh<span class=GramE>:1004</span>]<br> and their connection to the characteristics of other ideals, in particular<br> the&nbsp; <span class=SpellE>meager</span> ideal and the ideal of nowhere stationary sets.&nbsp; I will <br> present ZFC results and independence results from this paper.<o:p></o:p></span></p> <p class=p6><span style='font-size:12.0pt'><o:p>&nbsp;</o:p></span></p> <p class=p6><span class=SpellE><span class=s1><span style='font-size:12.0pt; mso-fareast-font-family:"Times New Roman"'>Adrian</span></span></span><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>Mathias</span>:  A proof of Eugene Wesley revisited  <o:p></o:p></span></span></p> <p class=p6><span class=s1><span style='font-size:12.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></span></p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"; color:black'> The paper {\it Extensions of the measurable choice theorem by means of forcing} by Eugene Wesley, a doctoral student of Robert Aumann, was published in the Israel Journal of Mathematics in Volume 14, 1973, pp 104-14. His proofs use Solovay's random-real forcing over models of ZFC to extend results of von Neumann. On page 113 he asks whether models of Zermelo set theory will suffice for his proofs. My answer is ``No, but nearly." Z alone cannot support the usual definitions of forcing, as shown in [Brussels]. But the theory Z + PROVI + DC, which is equiconsistent with Z, is sufficient for Wesley's arguments provided both Mostowski's absoluteness argument for $\LP11$ predicates and the coding of Borel sets in Solovay's famous paper [S] are appropriately modified. <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"; color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span class=SpellE>Asaf</span> <span class=SpellE>Karagila</span>: Critical failures<br> <br> We will define the notion of a critical cardinal in ZF, discuss a lifting criterion that allows us to obtain some results about critical cardinals, and outline some success and some failures related to this work. This is a joint project with <span class=SpellE>Yair</span> <span class=SpellE>Hayut</span>.</p> <p class=MsoNormal><o:p>&nbsp;</o:p></p> <p class=MsoNormal><span class=SpellE>Mirna</span> <span class=SpellE>D&#382;amonja</span>: Higher order versions of the logic of chains</p> <a href=" https://people.maths.bris.ac.uk/~mapdw/VIEG-2018/dzamonja.pdf "><span class=s9></span><br>Slides</a> <br><br> <p class=MsoNormal>First order logic of chains was discovered by Carol Karp and revisited in recent work of Dz. with <span class=SpellE>Jouko</span> <span class=SpellE>Vaananen</span>. The results have shown that the logic, defined through a singular cardinal of countable <span class=SpellE>cofinality</span>, behaves very much like the first order logic. In our new joint work, we study higher order versions of the logic of chains and their fragments to defend the thesis that in this context we can also recover similarities with the ordinary logic.<span style='mso-bidi-font-family:"Times New Roman"; color:black'><o:p></o:p></span></p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"; color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span class=SpellE>David</span> <span class=SpellE>Asper&oacute</span>: Side conditions, adding few reals, and trees <br> <a href=" https://people.maths.bris.ac.uk/~mapdw/VIEG-2018/aspero.pdf "><span class=s9></span><br>Slides</a> <br><br> I will present a method for building forcing iterations with small support and at the same time preserving (some initial segment of) GCH. The focus will be on a recent application to trees on omega_2. </p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"; color:black'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span class=SpellE>Benedikt</span> <span class=SpellE>L&oumlwe</span>: Order types of models of fragments and reducts of PA<br> <br> We shall consider the following six theories: Peano Arithmetic with and without induction (PA and PA-), Presburger Arithmetic with and without induction (Pr and Pr-), and Successor Arithmetic with and without induction (SA and SA-). Order types of models of PA and Pr have been studied by Bovykin, Kaye, Potthoff, and Zoethout. For any pair (S,T) from our six theories such that S does not prove T, we shall give examples of order types that separate S from T, i.e., an order type of a model of S that cannot be an order type of a model of T. This is joint work with Lorenzo Galeotti. <p class=p6><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p3><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p7><span style='mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p7><span style='mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> </td> </tr> </table> <p class=p8><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=p1><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> </div> </body> </html>